Huge News!Announcing our $40M Series B led by Abstract Ventures.Learn More
Socket
Sign inDemoInstall
Socket

jStat

Package Overview
Dependencies
Maintainers
1
Versions
47
Alerts
File Explorer

Advanced tools

Socket logo

Install Socket

Detect and block malicious and high-risk dependencies

Install

jStat - npm Package Compare versions

Comparing version 1.4.1 to 1.4.2

4

dist/jstat.min.js

@@ -1,2 +0,2 @@

this.j$=this.jStat=function(a,b){function f(b,c){var d=b>c?b:c;return a.pow(10,17-~~(a.log(d>0?d:-d)*a.LOG10E))}function h(a){return e.call(a)==="[object Function]"}function i(a){return typeof a=="number"&&a===a}function j(a){return c.apply([],a)}function k(){return new k._init(arguments)}function l(){return 0}function m(){return 1}function n(a,b){return a===b?1:0}var c=Array.prototype.concat,d=Array.prototype.slice,e=Object.prototype.toString,g=Array.isArray||function(b){return e.call(b)==="[object Array]"};k.fn=k.prototype,k._init=function(b){var c;if(g(b[0]))if(g(b[0][0])){h(b[1])&&(b[0]=k.map(b[0],b[1]));for(c=0;c<b[0].length;c++)this[c]=b[0][c];this.length=b[0].length}else this[0]=h(b[1])?k.map(b[0],b[1]):b[0],this.length=1;else if(i(b[0]))this[0]=k.seq.apply(null,b),this.length=1;else{if(b[0]instanceof k)return k(b[0].toArray());this[0]=[],this.length=1}return this},k._init.prototype=k.prototype,k._init.constructor=k,k.utils={calcRdx:f,isArray:g,isFunction:h,isNumber:i,toVector:j},k.extend=function(b){var c,d;if(arguments.length===1){for(d in b)k[d]=b[d];return this}for(c=1;c<arguments.length;c++)for(d in arguments[c])b[d]=arguments[c][d];return b},k.rows=function(b){return b.length||1},k.cols=function(b){return b[0].length||1},k.dimensions=function(b){return{rows:k.rows(b),cols:k.cols(b)}},k.row=function(b,c){return b[c]},k.col=function(b,c){var d=new Array(b.length);for(var e=0;e<b.length;e++)d[e]=[b[e][c]];return d},k.diag=function(b){var c=k.rows(b),d=new Array(c);for(var e=0;e<c;e++)d[e]=[b[e][e]];return d},k.antidiag=function(b){var c=k.rows(b)-1,d=new Array(c);for(var e=0;c>=0;c--,e++)d[e]=[b[e][c]];return d},k.transpose=function(b){var c=[],d,e,f,h,i;g(b[0])||(b=[b]),e=b.length,f=b[0].length;for(i=0;i<f;i++){d=new Array(e);for(h=0;h<e;h++)d[h]=b[h][i];c.push(d)}return c.length===1?c[0]:c},k.map=function(b,c,d){var e,f,h,i,j;g(b[0])||(b=[b]),f=b.length,h=b[0].length,i=d?b:new Array(f);for(e=0;e<f;e++){i[e]||(i[e]=new Array(h));for(j=0;j<h;j++)i[e][j]=c(b[e][j],e,j)}return i.length===1?i[0]:i},k.cumreduce=function(b,c,d){var e,f,h,i,j;g(b[0])||(b=[b]),f=b.length,h=b[0].length,i=d?b:new Array(f);for(e=0;e<f;e++){i[e]||(i[e]=new Array(h)),h>0&&(i[e][0]=b[e][0]);for(j=1;j<h;j++)i[e][j]=c(i[e][j-1],b[e][j])}return i.length===1?i[0]:i},k.alter=function(b,c){return k.map(b,c,!0)},k.create=function(b,c,d){var e=new Array(b),f,g;h(c)&&(d=c,c=b);for(f=0;f<b;f++){e[f]=new Array(c);for(g=0;g<c;g++)e[f][g]=d(f,g)}return e},k.zeros=function(b,c){return i(c)||(c=b),k.create(b,c,l)},k.ones=function(b,c){return i(c)||(c=b),k.create(b,c,m)},k.rand=function(c,d){return i(d)||(d=c),k.create(c,d,a.random)},k.identity=function(b,c){return i(c)||(c=b),k.create(b,c,n)},k.symmetric=function(b){var c=!0,d=b.length,e,f;if(b.length!==b[0].length)return!1;for(e=0;e<d;e++)for(f=0;f<d;f++)if(b[f][e]!==b[e][f])return!1;return!0},k.clear=function(b){return k.alter(b,l)},k.seq=function(b,c,d,e){h(e)||(e=!1);var g=[],i=f(b,c),j=(c*i-b*i)/((d-1)*i),k=b,l;for(l=0;k<=c;l++,k=(b*i+j*i*l)/i)g.push(e?e(k,l):k);return g};var o=k.prototype;return o.length=0,o.push=Array.prototype.push,o.sort=Array.prototype.sort,o.splice=Array.prototype.splice,o.slice=Array.prototype.slice,o.toArray=function(){return this.length>1?d.call(this):d.call(this)[0]},o.map=function(b,c){return k(k.map(this,b,c))},o.cumreduce=function(b,c){return k(k.cumreduce(this,b,c))},o.alter=function(b){return k.alter(this,b),this},function(a){for(var b=0;b<a.length;b++)(function(a){o[a]=function(b){var c=this,d;return b?(setTimeout(function(){b.call(c,o[a].call(c))}),this):(d=k[a](this),g(d)?k(d):d)}})(a[b])}("transpose clear symmetric rows cols dimensions diag antidiag".split(" ")),function(a){for(var b=0;b<a.length;b++)(function(a){o[a]=function(b,c){var d=this;return c?(setTimeout(function(){c.call(d,o[a].call(d,b))}),this):k(k[a](this,b))}})(a[b])}("row col".split(" ")),function(a){for(var b=0;b<a.length;b++)(function(a){o[a]=new Function("return jStat(jStat."+a+".apply(null, arguments));")})(a[b])}("create zeros ones rand identity".split(" ")),k}(Math),function(a,b){function d(a,b){return a-b}function e(a,c,d){return b.max(c,b.min(a,d))}var c=a.utils.isFunction;a.sum=function g(a){var g=0,b=a.length;while(--b>=0)g+=a[b];return g},a.sumsqrd=function(b){var c=0,d=b.length;while(--d>=0)c+=b[d]*b[d];return c},a.sumsqerr=function(c){var d=a.mean(c),e=0,f=c.length,g;while(--f>=0)g=c[f]-d,e+=g*g;return e},a.sumrow=function(b){var c=0,d=b.length;while(--d>=0)c+=b[d];return c},a.product=function(b){var c=1,d=b.length;while(--d>=0)c*=b[d];return c},a.min=function(b){var c=b[0],d=0;while(++d<b.length)b[d]<c&&(c=b[d]);return c},a.max=function(b){var c=b[0],d=0;while(++d<b.length)b[d]>c&&(c=b[d]);return c},a.mean=function(c){return a.sum(c)/c.length},a.meansqerr=function(c){return a.sumsqerr(c)/c.length},a.geomean=function(d){return b.pow(a.product(d),1/d.length)},a.median=function(b){var c=b.length,e=b.slice().sort(d);return c&1?e[c/2|0]:(e[c/2-1]+e[c/2])/2},a.cumsum=function(c){return a.cumreduce(c,function(a,b){return a+b})},a.cumprod=function(c){return a.cumreduce(c,function(a,b){return a*b})},a.diff=function(b){var c=[],d=b.length,e;for(e=1;e<d;e++)c.push(b[e]-b[e-1]);return c},a.mode=function(b){var c=b.length,e=b.slice().sort(d),f=1,g=0,h=0,i=[],j;for(j=0;j<c;j++)e[j]===e[j+1]?f++:(f>g?(i=[e[j]],g=f,h=0):f===g&&(i.push(e[j]),h++),f=1);return h===0?i[0]:i},a.range=function(c){return a.max(c)-a.min(c)},a.variance=function(c,d){return a.sumsqerr(c)/(c.length-(d?1:0))},a.stdev=function(d,e){return b.sqrt(a.variance(d,e))},a.meandev=function(d){var e=0,f=a.mean(d),g;for(g=d.length-1;g>=0;g--)e+=b.abs(d[g]-f);return e/d.length},a.meddev=function(d){var e=0,f=a.median(d),g;for(g=d.length-1;g>=0;g--)e+=b.abs(d[g]-f);return e/d.length},a.coeffvar=function(c){return a.stdev(c)/a.mean(c)},a.quartiles=function(c){var e=c.length,f=c.slice().sort(d);return[f[b.round(e/4)-1],f[b.round(e/2)-1],f[b.round(e*3/4)-1]]},a.quantiles=function(c,f,g,h){var i=c.slice().sort(d),j=[f.length],k=c.length,l,m,n,o,p,q;typeof g=="undefined"&&(g=3/8),typeof h=="undefined"&&(h=3/8);for(l=0;l<f.length;l++)m=f[l],n=g+m*(1-g-h),o=k*m+n,p=b.floor(e(o,1,k-1)),q=e(o-p,0,1),j[l]=(1-q)*i[p-1]+q*i[p];return j},a.percentile=function(b,c){var e=b.slice().sort(d),f=c*(e.length-1),g=parseInt(f),h=f-g;return g+1<e.length?e[g]*(1-h)+e[g+1]*h:e[g]},a.percentileOfScore=function(b,c,d){var e=0,f=b.length,g=!1,h,i;d==="strict"&&(g=!0);for(i=0;i<f;i++)h=b[i],(g&&h<c||!g&&h<=c)&&e++;return e/f},a.histogram=function(d,e){var f=a.min(d),g=e||4,h=(a.max(d)-f)/g,i=d.length,e=[],j;for(j=0;j<g;j++)e[j]=0;for(j=0;j<i;j++)e[b.min(b.floor((d[j]-f)/h),g-1)]+=1;return e},a.covariance=function(c,d){var e=a.mean(c),f=a.mean(d),g=c.length,h=new Array(g),i;for(i=0;i<g;i++)h[i]=(c[i]-e)*(d[i]-f);return a.sum(h)/(g-1)},a.corrcoeff=function(c,d){return a.covariance(c,d)/a.stdev(c,1)/a.stdev(d,1)},a.stanMoment=function(d,e){var f=a.mean(d),g=a.stdev(d),h=d.length,j=0;for(i=0;i<h;i++)j+=b.pow((d[i]-f)/g,e);return j/d.length},a.skewness=function(c){return a.stanMoment(c,3)},a.kurtosis=function(c){return a.stanMoment(c,4)-3};var f=a.prototype;(function(b){for(var d=0;d<b.length;d++)(function(b){f[b]=function(d,e){var g=[],h=0,i=this;c(d)&&(e=d,d=!1);if(e)return setTimeout(function(){e.call(i,f[b].call(i,d))}),this;if(this.length>1){i=d===!0?this:this.transpose();for(;h<i.length;h++)g[h]=a[b](i[h]);return g}return a[b](this[0],d)}})(b[d])})("cumsum cumprod".split(" ")),function(b){for(var d=0;d<b.length;d++)(function(b){f[b]=function(d,e){var g=[],h=0,i=this;c(d)&&(e=d,d=!1);if(e)return setTimeout(function(){e.call(i,f[b].call(i,d))}),this;if(this.length>1){b!=="sumrow"&&(i=d===!0?this:this.transpose());for(;h<i.length;h++)g[h]=a[b](i[h]);return d===!0?a[b](a.utils.toVector(g)):g}return a[b](this[0],d)}})(b[d])}("sum sumsqrd sumsqerr sumrow product min max mean meansqerr geomean median diff mode range variance stdev meandev meddev coeffvar quartiles histogram skewness kurtosis".split(" ")),function(b){for(var d=0;d<b.length;d++)(function(b){f[b]=function(){var d=[],e=0,g=this,h=Array.prototype.slice.call(arguments);if(c(h[h.length-1])){var i=h[h.length-1],j=h.slice(0,h.length-1);return setTimeout(function(){i.call(g,f[b].apply(g,j))}),this}var i=undefined,k=function(d){return a[b].apply(g,[d].concat(h))};if(this.length>1){g=g.transpose();for(;e<g.length;e++)d[e]=k(g[e]);return d}return k(this[0])}})(b[d])}("quantiles percentileOfScore".split(" "))}(this.jStat,Math),function(a,b){a.gammaln=function(c){var d=0,e=[76.18009172947146,-86.50532032941678,24.01409824083091,-1.231739572450155,.001208650973866179,-0.000005395239384953],f=1.000000000190015,g,h,i;i=(h=g=c)+5.5,i-=(g+.5)*b.log(i);for(;d<6;d++)f+=e[d]/++h;return b.log(2.5066282746310007*f/g)-i},a.gammafn=function(c){var d=[-1.716185138865495,24.76565080557592,-379.80425647094563,629.3311553128184,866.9662027904133,-31451.272968848367,-36144.413418691176,66456.14382024054],e=[-30.8402300119739,315.35062697960416,-1015.1563674902192,-3107.771671572311,22538.11842098015,4755.846277527881,-134659.9598649693,-115132.2596755535],f=!1,g=0,h=0,i=0,j=c,k,l,m,n,o,p;if(j<=0){n=j%1+3.6e-16;if(n)f=(j&1?-1:1)*b.PI/b.sin(b.PI*n),j=1-j;else return Infinity}m=j,j<1?l=j++:l=(j-=g=(j|0)-1)-1;for(k=0;k<8;++k)i=(i+d[k])*l,h=h*l+e[k];n=i/h+1;if(m<j)n/=m;else if(m>j)for(k=0;k<g;++k)n*=j,j++;return f&&(n=f/n),n},a.gammap=function(c,d){return a.lowRegGamma(c,d)*a.gammafn(c)},a.lowRegGamma=function(d,e){var f=a.gammaln(d),g=d,h=1/d,i=h,j=e+1-d,k=1/1e-30,l=1/j,m=l,n=1,o=-~(b.log(d>=1?d:1/d)*8.5+d*.4+17),p,q;if(e<0||d<=0)return NaN;if(e<d+1){for(;n<=o;n++)h+=i*=e/++g;return h*b.exp(-e+d*b.log(e)-f)}for(;n<=o;n++)p=-n*(n-d),j+=2,l=p*l+j,k=j+p/k,l=1/l,m*=l*k;return 1-m*b.exp(-e+d*b.log(e)-f)},a.factorialln=function(c){return c<0?NaN:a.gammaln(c+1)},a.factorial=function(c){return c<0?NaN:a.gammafn(c+1)},a.combination=function(d,e){return d>170||e>170?b.exp(a.combinationln(d,e)):a.factorial(d)/a.factorial(e)/a.factorial(d-e)},a.combinationln=function(c,d){return a.factorialln(c)-a.factorialln(d)-a.factorialln(c-d)},a.permutation=function(c,d){return a.factorial(c)/a.factorial(c-d)},a.betafn=function(d,e){return d<=0||e<=0?undefined:d+e>170?b.exp(a.betaln(d,e)):a.gammafn(d)*a.gammafn(e)/a.gammafn(d+e)},a.betaln=function(c,d){return a.gammaln(c)+a.gammaln(d)-a.gammaln(c+d)},a.betacf=function(c,d,e){var f=1e-30,g=1,h=d+e,i=d+1,j=d-1,k=1,l=1-h*c/i,m,n,o,p;b.abs(l)<f&&(l=f),l=1/l,p=l;for(;g<=100;g++){m=2*g,n=g*(e-g)*c/((j+m)*(d+m)),l=1+n*l,b.abs(l)<f&&(l=f),k=1+n/k,b.abs(k)<f&&(k=f),l=1/l,p*=l*k,n=-(d+g)*(h+g)*c/((d+m)*(i+m)),l=1+n*l,b.abs(l)<f&&(l=f),k=1+n/k,b.abs(k)<f&&(k=f),l=1/l,o=l*k,p*=o;if(b.abs(o-1)<3e-7)break}return p},a.gammapinv=function(d,e){var f=0,g=e-1,h=1e-8,i=a.gammaln(e),j,k,l,m,n,o,p;if(d>=1)return b.max(100,e+100*b.sqrt(e));if(d<=0)return 0;e>1?(o=b.log(g),p=b.exp(g*(o-1)-i),n=d<.5?d:1-d,l=b.sqrt(-2*b.log(n)),j=(2.30753+l*.27061)/(1+l*(.99229+l*.04481))-l,d<.5&&(j=-j),j=b.max(.001,e*b.pow(1-1/(9*e)-j/(3*b.sqrt(e)),3))):(l=1-e*(.253+e*.12),d<l?j=b.pow(d/l,1/e):j=1-b.log(1-(d-l)/(1-l)));for(;f<12;f++){if(j<=0)return 0;k=a.lowRegGamma(e,j)-d,e>1?l=p*b.exp(-(j-g)+g*(b.log(j)-o)):l=b.exp(-j+g*b.log(j)-i),m=k/l,j-=l=m/(1-.5*b.min(1,m*((e-1)/j-1))),j<=0&&(j=.5*(j+l));if(b.abs(l)<h*j)break}return j},a.erf=function(c){var d=[-1.3026537197817094,.6419697923564902,.019476473204185836,-0.00956151478680863,-0.000946595344482036,.000366839497852761,42523324806907e-18,-0.000020278578112534,-0.000001624290004647,130365583558e-17,1.5626441722e-8,-8.5238095915e-8,6.529054439e-9,5.059343495e-9,-9.91364156e-10,-2.27365122e-10,9.6467911e-11,2.394038e-12,-6.886027e-12,8.94487e-13,3.13092e-13,-1.12708e-13,3.81e-16,7.106e-15,-1.523e-15,-9.4e-17,1.21e-16,-2.8e-17],e=d.length-1,f=!1,g=0,h=0,i,j,k,l;c<0&&(c=-c,f=!0),i=2/(2+c),j=4*i-2;for(;e>0;e--)k=g,g=j*g-h+d[e],h=k;return l=i*b.exp(-c*c+.5*(d[0]+j*g)-h),f?l-1:1-l},a.erfc=function(c){return 1-a.erf(c)},a.erfcinv=function(d){var e=0,f,g,h,i;if(d>=2)return-100;if(d<=0)return 100;i=d<1?d:2-d,h=b.sqrt(-2*b.log(i/2)),f=-0.70711*((2.30753+h*.27061)/(1+h*(.99229+h*.04481))-h);for(;e<2;e++)g=a.erfc(f)-i,f+=g/(1.1283791670955126*b.exp(-f*f)-f*g);return d<1?f:-f},a.ibetainv=function(d,e,f){var g=1e-8,h=e-1,i=f-1,j=0,k,l,m,n,o,p,q,r,s,t,u;if(d<=0)return 0;if(d>=1)return 1;e>=1&&f>=1?(m=d<.5?d:1-d,n=b.sqrt(-2*b.log(m)),q=(2.30753+n*.27061)/(1+n*(.99229+n*.04481))-n,d<.5&&(q=-q),r=(q*q-3)/6,s=2/(1/(2*e-1)+1/(2*f-1)),t=q*b.sqrt(r+s)/s-(1/(2*f-1)-1/(2*e-1))*(r+5/6-2/(3*s)),q=e/(e+f*b.exp(2*t))):(k=b.log(e/(e+f)),l=b.log(f/(e+f)),n=b.exp(e*k)/e,o=b.exp(f*l)/f,t=n+o,d<n/t?q=b.pow(e*t*d,1/e):q=1-b.pow(f*t*(1-d),1/f)),u=-a.gammaln(e)-a.gammaln(f)+a.gammaln(e+f);for(;j<10;j++){if(q===0||q===1)return q;p=a.ibeta(q,e,f)-d,n=b.exp(h*b.log(q)+i*b.log(1-q)+u),o=p/n,q-=n=o/(1-.5*b.min(1,o*(h/q-i/(1-q)))),q<=0&&(q=.5*(q+n)),q>=1&&(q=.5*(q+n+1));if(b.abs(n)<g*q&&j>0)break}return q},a.ibeta=function(d,e,f){var g=d===0||d===1?0:b.exp(a.gammaln(e+f)-a.gammaln(e)-a.gammaln(f)+e*b.log(d)+f*b.log(1-d));return d<0||d>1?!1:d<(e+1)/(e+f+2)?g*a.betacf(d,e,f)/e:1-g*a.betacf(1-d,f,e)/f},a.randn=function(d,e){var f,g,h,i,j,k;e||(e=d);if(d)return a.create(d,e,function(){return a.randn()});do f=b.random(),g=1.7156*(b.random()-.5),h=f-.449871,i=b.abs(g)+.386595,j=h*h+i*(.196*i-.25472*h);while(j>.27597&&(j>.27846||g*g>-4*b.log(f)*f*f));return g/f},a.randg=function(d,e,f){var g=d,h,i,j,k,l,m;f||(f=e),d||(d=1);if(e)return m=a.zeros(e,f),m.alter(function(){return a.randg(d)}),m;d<1&&(d+=1),h=d-1/3,i=1/b.sqrt(9*h);do{do l=a.randn(),k=1+i*l;while(k<=0);k=k*k*k,j=b.random()}while(j>1-.331*b.pow(l,4)&&b.log(j)>.5*l*l+h*(1-k+b.log(k)));if(d==g)return h*k;do j=b.random();while(j===0);return b.pow(j,1/g)*h*k},function(b){for(var c=0;c<b.length;c++)(function(b){a.fn[b]=function(){return a(a.map(this,function(c){return a[b](c)}))}})(b[c])}("gammaln gammafn factorial factorialln".split(" ")),function(b){for(var c=0;c<b.length;c++)(function(b){a.fn[b]=function(){return a(a[b].apply(null,arguments))}})(b[c])}("randn".split(" "))}(this.jStat,Math),function(a,b){(function(b){for(var c=0;c<b.length;c++)(function(b){a[b]=function(a,b,c){return this instanceof arguments.callee?(this._a=a,this._b=b,this._c=c,this):new arguments.callee(a,b,c)},a.fn[b]=function(c,d,e){var f=a[b](c,d,e);return f.data=this,f},a[b].prototype.sample=function(c){var d=this._a,e=this._b,f=this._c;return c?a.alter(c,function(){return a[b].sample(d,e,f)}):a[b].sample(d,e,f)},function(c){for(var d=0;d<c.length;d++)(function(c){a[b].prototype[c]=function(d){var e=this._a,f=this._b,g=this._c;return!d&&d!==0&&(d=this.data),typeof d!="number"?a.fn.map.call(d,function(d){return a[b][c](d,e,f,g)}):a[b][c](d,e,f,g)}})(c[d])}("pdf cdf inv".split(" ")),function(c){for(var d=0;d<c.length;d++)(function(c){a[b].prototype[c]=function(){return a[b][c](this._a,this._b,this._c)}})(c[d])}("mean median mode variance".split(" "))})(b[c])})("beta centralF cauchy chisquare exponential gamma invgamma kumaraswamy lognormal noncentralt normal pareto studentt weibull uniform binomial negbin hypgeom poisson triangular".split(" ")),a.extend(a.beta,{pdf:function(d,e,f){return d>1||d<0?0:e==1&&f==1?1:e<512||f<512?b.pow(d,e-1)*b.pow(1-d,f-1)/a.betafn(e,f):b.exp((e-1)*b.log(d)+(f-1)*b.log(1-d)-a.betaln(e,f))},cdf:function(c,d,e){return c>1||c<0?(c>1)*1:a.ibeta(c,d,e)},inv:function(c,d,e){return a.ibetainv(c,d,e)},mean:function(b,c){return b/(b+c)},median:function(c,d){return a.ibetainv(.5,c,d)},mode:function(b,c){return(b-1)/(b+c-2)},sample:function(c,d){var e=a.randg(c);return e/(e+a.randg(d))},variance:function(c,d){return c*d/(b.pow(c+d,2)*(c+d+1))}}),a.extend(a.centralF,{pdf:function(d,e,f){var g,h,i;return d<0?undefined:e<=2?d===0&&e<2?Infinity:d===0&&e===2?1:b.sqrt(b.pow(e*d,e)*b.pow(f,f)/b.pow(e*d+f,e+f))/(d*a.betafn(e/2,f/2)):(g=e*d/(f+d*e),h=f/(f+d*e),i=e*h/2,i*a.binomial.pdf((e-2)/2,(e+f-2)/2,g))},cdf:function(c,d,e){return c<0?0:a.ibeta(d*c/(d*c+e),d/2,e/2)},inv:function(c,d,e){return e/(d*(1/a.ibetainv(c,d/2,e/2)-1))},mean:function(b,c){return c>2?c/(c-2):undefined},mode:function(b,c){return b>2?c*(b-2)/(b*(c+2)):undefined},sample:function(c,d){var e=a.randg(c/2)*2,f=a.randg(d/2)*2;return e/c/(f/d)},variance:function(b,c){return c<=4?undefined:2*c*c*(b+c-2)/(b*(c-2)*(c-2)*(c-4))}}),a.extend(a.cauchy,{pdf:function(c,d,e){return e/(b.pow(c-d,2)+b.pow(e,2))/b.PI},cdf:function(c,d,e){return b.atan((c-d)/e)/b.PI+.5},inv:function(a,c,d){return c+d*b.tan(b.PI*(a-.5))},median:function(b,c){return b},mode:function(b,c){return b},sample:function(d,e){return a.randn()*b.sqrt(1/(2*a.randg(.5)))*e+d}}),a.extend(a.chisquare,{pdf:function(d,e){return d===0&&e===2?.5:b.exp((e/2-1)*b.log(d)-d/2-e/2*b.log(2)-a.gammaln(e/2))},cdf:function(c,d){return c<0?0:a.lowRegGamma(d/2,c/2)},inv:function(b,c){return 2*a.gammapinv(b,.5*c)},mean:function(a){return a},median:function(c){return c*b.pow(1-2/(9*c),3)},mode:function(b){return b-2>0?b-2:0},sample:function(c){return a.randg(c/2)*2},variance:function(b){return 2*b}}),a.extend(a.exponential,{pdf:function(c,d){return c<0?0:d*b.exp(-d*c)},cdf:function(c,d){return c<0?0:1-b.exp(-d*c)},inv:function(a,c){return-b.log(1-a)/c},mean:function(a){return 1/a},median:function(a){return 1/a*b.log(2)},mode:function(b){return 0},sample:function(c){return-1/c*b.log(b.random())},variance:function(a){return b.pow(a,-2)}}),a.extend(a.gamma,{pdf:function(d,e,f){return b.exp((e-1)*b.log(d)-d/f-a.gammaln(e)-e*b.log(f))},cdf:function(c,d,e){return c<0?0:a.lowRegGamma(d,c/e)},inv:function(b,c,d){return a.gammapinv(b,c)*d},mean:function(a,b){return a*b},mode:function(b,c){return b>1?(b-1)*c:undefined},sample:function(c,d){return a.randg(c)*d},variance:function(b,c){return b*c*c}}),a.extend(a.invgamma,{pdf:function(d,e,f){return b.exp(-(e+1)*b.log(d)-f/d-a.gammaln(e)+e*b.log(f))},cdf:function(c,d,e){return c<=0?0:1-a.lowRegGamma(d,e/c)},inv:function(b,c,d){return d/a.gammapinv(1-b,c)},mean:function(a,b){return a>1?b/(a-1):undefined},mode:function(b,c){return c/(b+1)},sample:function(c,d){return d/a.randg(c)},variance:function(b,c){return b<=2?undefined:c*c/((b-1)*(b-1)*(b-2))}}),a.extend(a.kumaraswamy,{pdf:function(c,d,e){return c===0&&d===1?e:c===1&&e===1?d:b.exp(b.log(d)+b.log(e)+(d-1)*b.log(c)+(e-1)*b.log(1-b.pow(c,d)))},cdf:function(c,d,e){return c<0?0:c>1?1:1-b.pow(1-b.pow(c,d),e)},inv:function(c,d,e){return b.pow(1-b.pow(1-c,1/e),1/d)},mean:function(b,c){return c*a.gammafn(1+1/b)*a.gammafn(c)/a.gammafn(1+1/b+c)},median:function(c,d){return b.pow(1-b.pow(2,-1/d),1/c)},mode:function(c,d){return c>=1&&d>=1&&c!==1&&d!==1?b.pow((c-1)/(c*d-1),1/c):undefined},variance:function(b,c){throw new Error("variance not yet implemented")}}),a.extend(a.lognormal,{pdf:function(c,d,e){return b.exp(-b.log(c)-.5*b.log(2*b.PI)-b.log(e)-b.pow(b.log(c)-d,2)/(2*e*e))},cdf:function(d,e,f){return d<0?0:.5+.5*a.erf((b.log(d)-e)/b.sqrt(2*f*f))},inv:function(c,d,e){return b.exp(-1.4142135623730951*e*a.erfcinv(2*c)+d)},mean:function(c,d){return b.exp(c+d*d/2)},median:function(c,d){return b.exp(c)},mode:function(c,d){return b.exp(c-d*d)},sample:function(d,e){return b.exp(a.randn()*e+d)},variance:function(c,d){return(b.exp(d*d)-1)*b.exp(2*c+d*d)}}),a.extend(a.noncentralt,{pdf:function(d,e,f){var g=1e-14;return b.abs(f)<g?a.studentt.pdf(d,e):b.abs(d)<g?b.exp(a.gammaln((e+1)/2)-f*f/2-.5*b.log(b.PI*e)-a.gammaln(e/2)):e/d*(a.noncentralt.cdf(d*b.sqrt(1+2/e),e+2,f)-a.noncentralt.cdf(d,e,f))},cdf:function(d,e,f){var g=1e-14,h=200;if(b.abs(f)<g)return a.studentt.cdf(d,e);var i=!1;d<0&&(i=!0,f=-f);var j=a.normal.cdf(-f,0,1),k=g+1,l=k,m=d*d/(d*d+e),n=0,o=b.exp(-f*f/2),p=b.exp(-f*f/2-.5*b.log(2)-a.gammaln(1.5))*f;while(n<h||l>g||k>g)l=k,n>0&&(o*=f*f/(2*n),p*=f*f/(2*(n+.5))),k=o*a.beta.cdf(m,n+.5,e/2)+p*a.beta.cdf(m,n+1,e/2),j+=.5*k,n++;return i?1-j:j}}),a.extend(a.normal,{pdf:function(c,d,e){return b.exp(-0.5*b.log(2*b.PI)-b.log(e)-b.pow(c-d,2)/(2*e*e))},cdf:function(d,e,f){return.5*(1+a.erf((d-e)/b.sqrt(2*f*f)))},inv:function(b,c,d){return-1.4142135623730951*d*a.erfcinv(2*b)+c},mean:function(a,b){return a},median:function(b,c){return b},mode:function(a,b){return a},sample:function(c,d){return a.randn()*d+c},variance:function(a,b){return b*b}}),a.extend(a.pareto,{pdf:function(c,d,e){return c<d?undefined:e*b.pow(d,e)/b.pow(c,e+1)},cdf:function(c,d,e){return c<d?0:1-b.pow(d/c,e)},inv:function(c,d,e){return d/b.pow(1-c,1/e)},mean:function(c,d){return d<=1?undefined:d*b.pow(c,d)/(d-1)},median:function(c,d){return c*d*b.SQRT2},mode:function(b,c){return b},variance:function(a,c){return c<=2?undefined:a*a*c/(b.pow(c-1,2)*(c-2))}}),a.extend(a.studentt,{pdf:function(d,e){return e=e>1e+100?1e+100:e,1/(b.sqrt(e)*a.betafn(.5,e/2))*b.pow(1+d*d/e,-((e+1)/2))},cdf:function(d,e){var f=e/2;return a.ibeta((d+b.sqrt(d*d+e))/(2*b.sqrt(d*d+e)),f,f)},inv:function(c,d){var e=a.ibetainv(2*b.min(c,1-c),.5*d,.5);return e=b.sqrt(d*(1-e)/e),c>.5?e:-e},mean:function(b){return b>1?0:undefined},median:function(b){return 0},mode:function(b){return 0},sample:function(d){return a.randn()*b.sqrt(d/(2*a.randg(d/2)))},variance:function(b){return b>2?b/(b-2):b>1?Infinity:undefined}}),a.extend(a.weibull,{pdf:function(c,d,e){return c<0?0:e/d*b.pow(c/d,e-1)*b.exp(-b.pow(c/d,e))},cdf:function(c,d,e){return c<0?0:1-b.exp(-b.pow(c/d,e))},inv:function(a,c,d){return c*b.pow(-b.log(1-a),1/d)},mean:function(b,c){return b*a.gammafn(1+1/c)},median:function(c,d){return c*b.pow(b.log(2),1/d)},mode:function(c,d){return d<=1?undefined:c*b.pow((d-1)/d,1/d)},sample:function(c,d){return c*b.pow(-b.log(b.random()),1/d)},variance:function(d,e){return d*d*a.gammafn(1+2/e)-b.pow(this.mean(d,e),2)}}),a.extend(a.uniform,{pdf:function(b,c,d){return b<c||b>d?0:1/(d-c)},cdf:function(b,c,d){return b<c?0:b<d?(b-c)/(d-c):1},inv:function(a,b,c){return b+a*(c-b)},mean:function(b,c){return.5*(b+c)},median:function(c,d){return a.mean(c,d)},mode:function(b,c){throw new Error("mode is not yet implemented")},sample:function(c,d){return c/2+d/2+(d/2-c/2)*(2*b.random()-1)},variance:function(c,d){return b.pow(d-c,2)/12}}),a.extend(a.binomial,{pdf:function(d,e,f){return f===0||f===1?e*f===d?1:0:a.combination(e,d)*b.pow(f,d)*b.pow(1-f,e-d)},cdf:function(c,d,e){var f=[],g=0;if(c<0)return 0;if(c<d){for(;g<=c;g++)f[g]=a.binomial.pdf(g,d,e);return a.sum(f)}return 1}}),a.extend(a.negbin,{pdf:function(d,e,f){return d!==d|0?!1:d<0?0:a.combination(d+e-1,e-1)*b.pow(1-f,d)*b.pow(f,e)},cdf:function(c,d,e){var f=0,g=0;if(c<0)return 0;for(;g<=c;g++)f+=a.negbin.pdf(g,d,e);return f}}),a.extend(a.hypgeom,{pdf:function(d,e,f,g){if(d!==d|0)return!1;if(d<0||d<f-(e-g))return 0;if(d>g||d>f)return 0;if(f*2>e)return g*2>e?a.hypgeom.pdf(e-f-g+d,e,e-f,e-g):a.hypgeom.pdf(g-d,e,e-f,g);if(g*2>e)return a.hypgeom.pdf(f-d,e,f,e-g);if(f<g)return a.hypgeom.pdf(d,e,g,f);var h=1,i=0;for(var j=0;j<d;j++){while(h>1&&i<g)h*=1-f/(e-i),i++;h*=(g-j)*(f-j)/((j+1)*(e-f-g+j+1))}for(;i<g;i++)h*=1-f/(e-i);return b.min(1,b.max(0,h))},cdf:function(d,e,f,g){if(d<0||d<f-(e-g))return 0;if(d>=g||d>=f)return 1;if(f*2>e)return g*2>e?a.hypgeom.cdf(e-f-g+d,e,e-f,e-g):1-a.hypgeom.cdf(g-d-1,e,e-f,g);if(g*2>e)return 1-a.hypgeom.cdf(f-d-1,e,f,e-g);if(f<g)return a.hypgeom.cdf(d,e,g,f);var h=1,i=1,j=0;for(var k=0;k<d;k++){while(h>1&&j<g){var l=1-f/(e-j);i*=l,h*=l,j++}i*=(g-k)*(f-k)/((k+1)*(e-f-g+k+1)),h+=i}for(;j<g;j++)h*=1-f/(e-j);return b.min(1,b.max(0,h))}}),a.extend(a.poisson,{pdf:function(d,e){return b.pow(e,d)*b.exp(-e)/a.factorial(d)},cdf:function(c,d){var e=[],f=0;if(c<0)return 0;for(;f<=c;f++)e.push(a.poisson.pdf(f,d));return a.sum(e)},mean:function(a){return a},variance:function(a){return a},sample:function(c){var d=1,e=0,f=b.exp(-c);do e++,d*=b.random();while(d>f);return e-1}}),a.extend(a.triangular,{pdf:function(b,c,d,e){return d<=c||e<c||e>d?NaN:b<c||b>d?0:b<e?2*(b-c)/((d-c)*(e-c)):b===e?2/(d-c):2*(d-b)/((d-c)*(d-e))},cdf:function(c,d,e,f){return e<=d||f<d||f>e?NaN:c<=d?0:c>=e?1:c<=f?b.pow(c-d,2)/((e-d)*(f-d)):1-b.pow(e-c,2)/((e-d)*(e-f))},mean:function(b,c,d){return(b+c+d)/3},median:function(c,d,e){if(e<=(c+d)/2)return d-b.sqrt((d-c)*(d-e))/b.sqrt(2);if(e>(c+d)/2)return c+b.sqrt((d-c)*(e-c))/b.sqrt(2)},mode:function(b,c,d){return d},sample:function(c,d,e){var f=b.random();return f<(e-c)/(d-c)?c+b.sqrt(f*(d-c)*(e-c)):d-b.sqrt((1-f)*(d-c)*(d-e))},variance:function(b,c,d){return(b*b+c*c+d*d-b*c-b*d-c*d)/18}})}(this.jStat,Math),function(a,b){var d=Array.prototype.push,e=a.utils.isArray;a.extend({add:function(c,d){return e(d)?(e(d[0])||(d=[d]),a.map(c,function(a,b,c){return a+d[b][c]})):a.map(c,function(a){return a+d})},subtract:function(c,d){return e(d)?(e(d[0])||(d=[d]),a.map(c,function(a,b,c){return a-d[b][c]||0})):a.map(c,function(a){return a-d})},divide:function(c,d){return e(d)?(e(d[0])||(d=[d]),a.multiply(c,a.inv(d))):a.map(c,function(a){return a/d})},multiply:function(c,d){var f,g,h,i,j=c.length,k=c[0].length,l=a.zeros(j,h=e(d)?d[0].length:k),m=0;if(e(d)){for(;m<h;m++)for(f=0;f<j;f++){i=0;for(g=0;g<k;g++)i+=c[f][g]*d[g][m];l[f][m]=i}return j===1&&m===1?l[0][0]:l}return a.map(c,function(a){return a*d})},dot:function(c,d){e(c[0])||(c=[c]),e(d[0])||(d=[d]);var f=c[0].length===1&&c.length!==1?a.transpose(c):c,g=d[0].length===1&&d.length!==1?a.transpose(d):d,h=[],i=0,j=f.length,k=f[0].length,l,m;for(;i<j;i++){h[i]=[],l=0;for(m=0;m<k;m++)l+=f[i][m]*g[i][m];h[i]=l}return h.length===1?h[0]:h},pow:function(d,e){return a.map(d,function(a){return b.pow(a,e)})},exp:function(d){return a.map(d,function(a){return b.exp(a)})},log:function(d){return a.map(d,function(a){return b.log(a)})},abs:function(d){return a.map(d,function(a){return b.abs(a)})},norm:function(c,d){var f=0,g=0;isNaN(d)&&(d=2),e(c[0])&&(c=c[0]);for(;g<c.length;g++)f+=b.pow(b.abs(c[g]),d);return b.pow(f,1/d)},angle:function(d,e){return b.acos(a.dot(d,e)/(a.norm(d)*a.norm(e)))},aug:function(b,c){var e=b.slice(),f=0;for(;f<e.length;f++)d.apply(e[f],c[f]);return e},inv:function(c){var d=c.length,e=c[0].length,f=a.identity(d,e),g=a.gauss_jordan(c,f),h=[],i=0,j;for(;i<d;i++){h[i]=[];for(j=e;j<g[0].length;j++)h[i][j-e]=g[i][j]}return h},det:function(b){var c=b.length,d=c*2,e=new Array(d),f=c-1,g=d-1,h=f-c+1,i=g,j=0,k=0,l;if(c===2)return b[0][0]*b[1][1]-b[0][1]*b[1][0];for(;j<d;j++)e[j]=1;for(j=0;j<c;j++){for(l=0;l<c;l++)e[h<0?h+c:h]*=b[j][l],e[i<c?i+c:i]*=b[j][l],h++,i--;h=--f-c+1,i=--g}for(j=0;j<c;j++)k+=e[j];for(;j<d;j++)k-=e[j];return k},gauss_elimination:function(d,e){var f=0,g=0,h=d.length,i=d[0].length,j=1,k=0,l=[],m,n,o,p;d=a.aug(d,e),m=d[0].length;for(f=0;f<h;f++){n=d[f][f],g=f;for(p=f+1;p<i;p++)n<b.abs(d[p][f])&&(n=d[p][f],g=p);if(g!=f)for(p=0;p<m;p++)o=d[f][p],d[f][p]=d[g][p],d[g][p]=o;for(g=f+1;g<h;g++){j=d[g][f]/d[f][f];for(p=f;p<m;p++)d[g][p]=d[g][p]-j*d[f][p]}}for(f=h-1;f>=0;f--){k=0;for(g=f+1;g<=h-1;g++)k+=l[g]*d[f][g];l[f]=(d[f][m-1]-k)/d[f][f]}return l},gauss_jordan:function(e,f){var g=a.aug(e,f),h=g.length,i=g[0].length;for(var j=0;j<h;j++){var k=j;for(var l=j+1;l<h;l++)b.abs(g[l][j])>b.abs(g[k][j])&&(k=l);var m=g[j];g[j]=g[k],g[k]=m;for(var l=j+1;l<h;l++){c=g[l][j]/g[j][j];for(var n=j;n<i;n++)g[l][n]-=g[j][n]*c}}for(var j=h-1;j>=0;j--){c=g[j][j];for(var l=0;l<j;l++)for(var n=i-1;n>j-1;n--)g[l][n]-=g[j][n]*g[l][j]/c;g[j][j]/=c;for(var n=h;n<i;n++)g[j][n]/=c}return g},lu:function(b,c){throw new Error("lu not yet implemented")},cholesky:function(b,c){throw new Error("cholesky not yet implemented")},gauss_jacobi:function(d,e,f,g){var h=0,i=0,j=d.length,k=[],l=[],m=[],n,o,p,q;for(;h<j;h++){k[h]=[],l[h]=[],m[h]=[];for(i=0;i<j;i++)h>i?(k[h][i]=d[h][i],l[h][i]=m[h][i]=0):h<i?(l[h][i]=d[h][i],k[h][i]=m[h][i]=0):(m[h][i]=d[h][i],k[h][i]=l[h][i]=0)}p=a.multiply(a.multiply(a.inv(m),a.add(k,l)),-1),o=a.multiply(a.inv(m),e),n=f,q=a.add(a.multiply(p,f),o),h=2;while(b.abs(a.norm(a.subtract(q,n)))>g)n=q,q=a.add(a.multiply(p,n),o),h++;return q},gauss_seidel:function(d,e,f,g){var h=0,i=d.length,j=[],k=[],l=[],m,n,o,p,q;for(;h<i;h++){j[h]=[],k[h]=[],l[h]=[];for(m=0;m<i;m++)h>m?(j[h][m]=d[h][m],k[h][m]=l[h][m]=0):h<m?(k[h][m]=d[h][m],j[h][m]=l[h][m]=0):(l[h][m]=d[h][m],j[h][m]=k[h][m]=0)}p=a.multiply(a.multiply(a.inv(a.add(l,j)),k),-1),o=a.multiply(a.inv(a.add(l,j)),e),n=f,q=a.add(a.multiply(p,f),o),h=2;while(b.abs(a.norm(a.subtract(q,n)))>g)n=q,q=a.add(a.multiply(p,n),o),h+=1;return q},SOR:function(d,e,f,g,h){var i=0,j=d.length,k=[],l=[],m=[],n,o,p,q,r;for(;i<j;i++){k[i]=[],l[i]=[],m[i]=[];for(n=0;n<j;n++)i>n?(k[i][n]=d[i][n],l[i][n]=m[i][n]=0):i<n?(l[i][n]=d[i][n],k[i][n]=m[i][n]=0):(m[i][n]=d[i][n],k[i][n]=l[i][n]=0)}q=a.multiply(a.inv(a.add(m,a.multiply(k,h))),a.subtract(a.multiply(m,1-h),a.multiply(l,h))),p=a.multiply(a.multiply(a.inv(a.add(m,a.multiply(k,h))),e),h),o=f,r=a.add(a.multiply(q,f),p),i=2;while(b.abs(a.norm(a.subtract(r,o)))>g)o=r,r=a.add(a.multiply(q,o),p),i++;return r},householder:function(d){var e=d.length,f=d[0].length,g=0,h=[],i=[],j,k,l,m,n;for(;g<e-1;g++){j=0;for(m=g+1;m<f;m++)j+=d[m][g]*d[m][g];n=d[g+1][g]>0?-1:1,j=n*b.sqrt(j),k=b.sqrt((j*j-d[g+1][g]*j)/2),h=a.zeros(e,1),h[g+1][0]=(d[g+1][g]-j)/(2*k);for(l=g+2;l<e;l++)h[l][0]=d[l][g]/(2*k);i=a.subtract(a.identity(e,f),a.multiply(a.multiply(h,a.transpose(h)),2)),d=a.multiply(i,a.multiply(d,i))}return d},QR:function(d,e){var f=d.length,g=d[0].length,h=0,i=[],j=[],k=[],l,m,n,o,p,q;for(;h<f-1;h++){m=0;for(l=h+1;l<g;l++)m+=d[l][h]*d[l][h];p=d[h+1][h]>0?-1:1,m=p*b.sqrt(m),n=b.sqrt((m*m-d[h+1][h]*m)/2),i=a.zeros(f,1),i[h+1][0]=(d[h+1][h]-m)/(2*n);for(o=h+2;o<f;o++)i[o][0]=d[o][h]/(2*n);j=a.subtract(a.identity(f,g),a.multiply(a.multiply(i,a.transpose(i)),2)),d=a.multiply(j,d),e=a.multiply(j,e)}for(h=f-1;h>=0;h--){q=0;for(l=h+1;l<=g-1;l++)q=k[l]*d[h][l];k[h]=e[h][0]/d[h][h]}return k},jacobi:function(d){var e=1,f=0,g=d.length,h=a.identity(g,g),i=[],j,k,l,m,n,o,p,q;while(e===1){f++,o=d[0][1],m=0,n=1;for(k=0;k<g;k++)for(l=0;l<g;l++)k!=l&&o<b.abs(d[k][l])&&(o=b.abs(d[k][l]),m=k,n=l);d[m][m]===d[n][n]?p=d[m][n]>0?b.PI/4:-b.PI/4:p=b.atan(2*d[m][n]/(d[m][m]-d[n][n]))/2,q=a.identity(g,g),q[m][m]=b.cos(p),q[m][n]=-b.sin(p),q[n][m]=b.sin(p),q[n][n]=b.cos(p),h=a.multiply(h,q),j=a.multiply(a.multiply(a.inv(q),d),q),d=j,e=0;for(k=1;k<g;k++)for(l=1;l<g;l++)k!=l&&b.abs(d[k][l])>.001&&(e=1)}for(k=0;k<g;k++)i.push(d[k][k]);return[h,i]},rungekutta:function(b,c,d,e,f,g){var h,i,j,k,l;if(g===2)while(e<=d)h=c*b(e,f),i=c*b(e+c,f+h),j=f+(h+i)/2,f=j,e+=c;if(g===4)while(e<=d)h=c*b(e,f),i=c*b(e+c/2,f+h/2),k=c*b(e+c/2,f+i/2),l=c*b(e+c,f+k),j=f+(h+2*i+2*k+l)/6,f=j,e+=c;return f},romberg:function(c,d,e,f){var g=0,h=(e-d)/2,i=[],j=[],k=[],l,m,n,o,p,q;while(g<f/2){p=c(d);for(n=d,o=0;n<=e;n+=h,o++)i[o]=n;l=i.length;for(n=1;n<l-1;n++)p+=(n%2!==0?4:2)*c(i[n]);p=h/3*(p+c(e)),k[g]=p,h/=2,g++}m=k.length,l=1;while(m!==1){for(n=0;n<m-1;n++)j[n]=(b.pow(4,l)*k[n+1]-k[n])/(b.pow(4,l)-1);m=j.length,k=j,j=[],l++}return k},richardson:function(c,d,e,f){function g(a,b){var c=0,d=a.length,e;for(;c<d;c++)a[c]===b&&(e=c);return e}var h=c.length,i=b.abs(e-c[g(c,e)+1]),j=0,k=[],l=[],m,n,o,p,q;while(f>=i)m=g(c,e+f),n=g(c,e),k[j]=(d[m]-2*d[n]+d[2*n-m])/(f*f),f/=2,j++;p=k.length,o=1;while(p!=1){for(q=0;q<p-1;q++)l[q]=(b.pow(4,o)*k[q+1]-k[q])/(b.pow(4,o)-1);p=l.length,k=l,l=[],o++}return k},simpson:function(b,c,d,e){var f=(d-c)/e,g=b(c),h=[],i=c,j=0,k=1,l;for(;i<=d;i+=f,j++)h[j]=i;l=h.length;for(;k<l-1;k++)g+=(k%2!==0?4:2)*b(h[k]);return f/3*(g+b(d))},hermite:function(b,c,d,e){var f=b.length,g=0,h=0,i=[],j=[],k=[],l=[],m;for(;h<f;h++){i[h]=1;for(m=0;m<f;m++)h!=m&&(i[h]*=(e-b[m])/(b[h]-b[m]));j[h]=0;for(m=0;m<f;m++)h!=m&&(j[h]+=1/(b[h]-b[m]));k[h]=(1-2*(e-b[h])*j[h])*i[h]*i[h],l[h]=(e-b[h])*i[h]*i[h],g+=k[h]*c[h]+l[h]*d[h]}return g},lagrange:function(b,c,d){var e=0,f=0,g,h,i=b.length;for(;f<i;f++){h=c[f];for(g=0;g<i;g++)f!=g&&(h*=(d-b[g])/(b[f]-b[g]));e+=h}return e},cubic_spline:function(c,d,e){var f=c.length,g=0,h,i=[],j=[],k=[],l=[],m=[],n=[],o=[];for(;g<f-1;g++)m[g]=c[g+1]-c[g];k[0]=0;for(g=1;g<f-1;g++)k[g]=3/m[g]*(d[g+1]-d[g])-3/m[g-1]*(d[g]-d[g-1]);for(g=1;g<f-1;g++)i[g]=[],j[g]=[],i[g][g-1]=m[g-1],i[g][g]=2*(m[g-1]+m[g]),i[g][g+1]=m[g],j[g][0]=k[g];l=a.multiply(a.inv(i),j);for(h=0;h<f-1;h++)n[h]=(d[h+1]-d[h])/m[h]-m[h]*(l[h+1][0]+2*l[h][0])/3,o[h]=(l[h+1][0]-l[h][0])/(3*m[h]);for(h=0;h<f;h++)if(c[h]>e)break;return h-=1,d[h]+(e-c[h])*n[h]+a.sq(e-c[h])*l[h]+(e-c[h])*a.sq(e-c[h])*o[h]},gauss_quadrature:function(){throw new Error("gauss_quadrature not yet implemented")},PCA:function(c){var d=c.length,e=c[0].length,f=!1,g=0,h,i,j=[],k=[],l=[],m=[],n=[],o=[],p=[],q=[],r=[],s=[];for(g=0;g<d;g++)j[g]=a.sum(c[g])/e;for(g=0;g<e;g++){p[g]=[];for(h=0;h<d;h++)p[g][h]=c[h][g]-j[h]}p=a.transpose(p);for(g=0;g<d;g++){q[g]=[];for(h=0;h<d;h++)q[g][h]=a.dot([p[g]],[p[h]])/(e-1)}l=a.jacobi(q),r=l[0],k=l[1],s=a.transpose(r);for(g=0;g<k.length;g++)for(h=g;h<k.length;h++)k[g]<k[h]&&(i=k[g],k[g]=k[h],k[h]=i,m=s[g],s[g]=s[h],s[h]=m);o=a.transpose(p);for(
g=0;g<d;g++){n[g]=[];for(h=0;h<o.length;h++)n[g][h]=a.dot([s[g]],[o[h]])}return[c,k,s,n]}}),function(b){for(var c=0;c<b.length;c++)(function(b){a.fn[b]=function(c,d){var e=this;return d?(setTimeout(function(){d.call(e,a.fn[b].call(e,c))},15),this):typeof a[b](this,c)=="number"?a[b](this,c):a(a[b](this,c))}})(b[c])}("add divide multiply subtract dot pow exp log abs norm angle".split(" "))}(this.jStat,Math),function(a,b){var c=[].slice,d=a.utils.isNumber,e=a.utils.isArray;a.extend({zscore:function(){var e=c.call(arguments);return d(e[1])?(e[0]-e[1])/e[2]:(e[0]-a.mean(e[1]))/a.stdev(e[1],e[2])},ztest:function(){var f=c.call(arguments),g;return e(f[1])?(g=a.zscore(f[0],f[1],f[3]),f[2]===1?a.normal.cdf(-b.abs(g),0,1):a.normal.cdf(-b.abs(g),0,1)*2):f.length>2?(g=a.zscore(f[0],f[1],f[2]),f[3]===1?a.normal.cdf(-b.abs(g),0,1):a.normal.cdf(-b.abs(g),0,1)*2):(g=f[0],f[1]===1?a.normal.cdf(-b.abs(g),0,1):a.normal.cdf(-b.abs(g),0,1)*2)}}),a.extend(a.fn,{zscore:function(b,c){return(b-this.mean())/this.stdev(c)},ztest:function(d,e,f){var g=b.abs(this.zscore(d,f));return e===1?a.normal.cdf(-g,0,1):a.normal.cdf(-g,0,1)*2}}),a.extend({tscore:function(){var e=c.call(arguments);return e.length===4?(e[0]-e[1])/(e[2]/b.sqrt(e[3])):(e[0]-a.mean(e[1]))/(a.stdev(e[1],!0)/b.sqrt(e[1].length))},ttest:function(){var f=c.call(arguments),g;return f.length===5?(g=b.abs(a.tscore(f[0],f[1],f[2],f[3])),f[4]===1?a.studentt.cdf(-g,f[3]-1):a.studentt.cdf(-g,f[3]-1)*2):d(f[1])?(g=b.abs(f[0]),f[2]==1?a.studentt.cdf(-g,f[1]-1):a.studentt.cdf(-g,f[1]-1)*2):(g=b.abs(a.tscore(f[0],f[1])),f[2]==1?a.studentt.cdf(-g,f[1].length-1):a.studentt.cdf(-g,f[1].length-1)*2)}}),a.extend(a.fn,{tscore:function(c){return(c-this.mean())/(this.stdev(!0)/b.sqrt(this.cols()))},ttest:function(d,e){return e===1?1-a.studentt.cdf(b.abs(this.tscore(d)),this.cols()-1):a.studentt.cdf(-b.abs(this.tscore(d)),this.cols()-1)*2}}),a.extend({anovafscore:function(){var e=c.call(arguments),f,g,h,i,j,k,l,m;if(e.length===1){j=new Array(e[0].length);for(l=0;l<e[0].length;l++)j[l]=e[0][l];e=j}if(e.length===2)return a.variance(e[0])/a.variance(e[1]);g=new Array;for(l=0;l<e.length;l++)g=g.concat(e[l]);h=a.mean(g),f=0;for(l=0;l<e.length;l++)f+=e[l].length*b.pow(a.mean(e[l])-h,2);f/=e.length-1,k=0;for(l=0;l<e.length;l++){i=a.mean(e[l]);for(m=0;m<e[l].length;m++)k+=b.pow(e[l][m]-i,2)}return k/=g.length-e.length,f/k},anovaftest:function(){var e=c.call(arguments),f,g,h,i;if(d(e[0]))return 1-a.centralF.cdf(e[0],e[1],e[2]);anovafscore=a.anovafscore(e),f=e.length-1,h=0;for(i=0;i<e.length;i++)h+=e[i].length;return g=h-f-1,1-a.centralF.cdf(anovafscore,f,g)},ftest:function(c,d,e){return 1-a.centralF.cdf(c,d,e)}}),a.extend(a.fn,{anovafscore:function(){return a.anovafscore(this.toArray())},anovaftes:function(){var c=0,d;for(d=0;d<this.length;d++)c+=this[d].length;return a.ftest(this.anovafscore(),this.length-1,c-this.length)}}),a.extend({normalci:function(){var e=c.call(arguments),f=new Array(2),g;return e.length===4?g=b.abs(a.normal.inv(e[1]/2,0,1)*e[2]/b.sqrt(e[3])):g=b.abs(a.normal.inv(e[1]/2,0,1)*a.stdev(e[2])/b.sqrt(e[2].length)),f[0]=e[0]-g,f[1]=e[0]+g,f},tci:function(){var e=c.call(arguments),f=new Array(2),g;return e.length===4?g=b.abs(a.studentt.inv(e[1]/2,e[3]-1)*e[2]/b.sqrt(e[3])):g=b.abs(a.studentt.inv(e[1]/2,e[2].length-1)*a.stdev(e[2],!0)/b.sqrt(e[2].length)),f[0]=e[0]-g,f[1]=e[0]+g,f},significant:function(b,c){return b<c}}),a.extend(a.fn,{normalci:function(c,d){return a.normalci(c,d,this.toArray())},tci:function(c,d){return a.tci(c,d,this.toArray())}});function f(a,c,d,e){if(a>1||d>1||a<=0||d<=0)throw new Error("Proportions should be greater than 0 and less than 1");var f=(a*c+d*e)/(c+e),g=b.sqrt(f*(1-f)*(1/c+1/e));return(a-d)/g}a.extend(a.fn,{oneSidedDifferenceOfProportions:function(c,d,e,g){var h=f(c,d,e,g);return a.ztest(h,1)},twoSidedDifferenceOfProportions:function(c,d,e,g){var h=f(c,d,e,g);return a.ztest(h,2)}})}(this.jStat,Math);
this.j$=this.jStat=function(a,b){function f(b,c){var d=b>c?b:c;return a.pow(10,17-~~(a.log(d>0?d:-d)*a.LOG10E))}function h(a){return e.call(a)==="[object Function]"}function i(a){return typeof a=="number"&&a===a}function j(a){return c.apply([],a)}function k(){return new k._init(arguments)}function l(){return 0}function m(){return 1}function n(a,b){return a===b?1:0}var c=Array.prototype.concat,d=Array.prototype.slice,e=Object.prototype.toString,g=Array.isArray||function(b){return e.call(b)==="[object Array]"};k.fn=k.prototype,k._init=function(b){var c;if(g(b[0]))if(g(b[0][0])){h(b[1])&&(b[0]=k.map(b[0],b[1]));for(c=0;c<b[0].length;c++)this[c]=b[0][c];this.length=b[0].length}else this[0]=h(b[1])?k.map(b[0],b[1]):b[0],this.length=1;else if(i(b[0]))this[0]=k.seq.apply(null,b),this.length=1;else{if(b[0]instanceof k)return k(b[0].toArray());this[0]=[],this.length=1}return this},k._init.prototype=k.prototype,k._init.constructor=k,k.utils={calcRdx:f,isArray:g,isFunction:h,isNumber:i,toVector:j},k.extend=function(b){var c,d;if(arguments.length===1){for(d in b)k[d]=b[d];return this}for(c=1;c<arguments.length;c++)for(d in arguments[c])b[d]=arguments[c][d];return b},k.rows=function(b){return b.length||1},k.cols=function(b){return b[0].length||1},k.dimensions=function(b){return{rows:k.rows(b),cols:k.cols(b)}},k.row=function(b,c){return b[c]},k.col=function(b,c){var d=new Array(b.length);for(var e=0;e<b.length;e++)d[e]=[b[e][c]];return d},k.diag=function(b){var c=k.rows(b),d=new Array(c);for(var e=0;e<c;e++)d[e]=[b[e][e]];return d},k.antidiag=function(b){var c=k.rows(b)-1,d=new Array(c);for(var e=0;c>=0;c--,e++)d[e]=[b[e][c]];return d},k.transpose=function(b){var c=[],d,e,f,h,i;g(b[0])||(b=[b]),e=b.length,f=b[0].length;for(i=0;i<f;i++){d=new Array(e);for(h=0;h<e;h++)d[h]=b[h][i];c.push(d)}return c.length===1?c[0]:c},k.map=function(b,c,d){var e,f,h,i,j;g(b[0])||(b=[b]),f=b.length,h=b[0].length,i=d?b:new Array(f);for(e=0;e<f;e++){i[e]||(i[e]=new Array(h));for(j=0;j<h;j++)i[e][j]=c(b[e][j],e,j)}return i.length===1?i[0]:i},k.cumreduce=function(b,c,d){var e,f,h,i,j;g(b[0])||(b=[b]),f=b.length,h=b[0].length,i=d?b:new Array(f);for(e=0;e<f;e++){i[e]||(i[e]=new Array(h)),h>0&&(i[e][0]=b[e][0]);for(j=1;j<h;j++)i[e][j]=c(i[e][j-1],b[e][j])}return i.length===1?i[0]:i},k.alter=function(b,c){return k.map(b,c,!0)},k.create=function(b,c,d){var e=new Array(b),f,g;h(c)&&(d=c,c=b);for(f=0;f<b;f++){e[f]=new Array(c);for(g=0;g<c;g++)e[f][g]=d(f,g)}return e},k.zeros=function(b,c){return i(c)||(c=b),k.create(b,c,l)},k.ones=function(b,c){return i(c)||(c=b),k.create(b,c,m)},k.rand=function(c,d){return i(d)||(d=c),k.create(c,d,a.random)},k.identity=function(b,c){return i(c)||(c=b),k.create(b,c,n)},k.symmetric=function(b){var c=!0,d=b.length,e,f;if(b.length!==b[0].length)return!1;for(e=0;e<d;e++)for(f=0;f<d;f++)if(b[f][e]!==b[e][f])return!1;return!0},k.clear=function(b){return k.alter(b,l)},k.seq=function(b,c,d,e){h(e)||(e=!1);var g=[],i=f(b,c),j=(c*i-b*i)/((d-1)*i),k=b,l;for(l=0;k<=c;l++,k=(b*i+j*i*l)/i)g.push(e?e(k,l):k);return g};var o=k.prototype;return o.length=0,o.push=Array.prototype.push,o.sort=Array.prototype.sort,o.splice=Array.prototype.splice,o.slice=Array.prototype.slice,o.toArray=function(){return this.length>1?d.call(this):d.call(this)[0]},o.map=function(b,c){return k(k.map(this,b,c))},o.cumreduce=function(b,c){return k(k.cumreduce(this,b,c))},o.alter=function(b){return k.alter(this,b),this},function(a){for(var b=0;b<a.length;b++)(function(a){o[a]=function(b){var c=this,d;return b?(setTimeout(function(){b.call(c,o[a].call(c))}),this):(d=k[a](this),g(d)?k(d):d)}})(a[b])}("transpose clear symmetric rows cols dimensions diag antidiag".split(" ")),function(a){for(var b=0;b<a.length;b++)(function(a){o[a]=function(b,c){var d=this;return c?(setTimeout(function(){c.call(d,o[a].call(d,b))}),this):k(k[a](this,b))}})(a[b])}("row col".split(" ")),function(a){for(var b=0;b<a.length;b++)(function(a){o[a]=new Function("return jStat(jStat."+a+".apply(null, arguments));")})(a[b])}("create zeros ones rand identity".split(" ")),k}(Math),function(a,b){function d(a,b){return a-b}function e(a,c,d){return b.max(c,b.min(a,d))}var c=a.utils.isFunction;a.sum=function g(a){var g=0,b=a.length;while(--b>=0)g+=a[b];return g},a.sumsqrd=function(b){var c=0,d=b.length;while(--d>=0)c+=b[d]*b[d];return c},a.sumsqerr=function(c){var d=a.mean(c),e=0,f=c.length,g;while(--f>=0)g=c[f]-d,e+=g*g;return e},a.sumrow=function(b){var c=0,d=b.length;while(--d>=0)c+=b[d];return c},a.product=function(b){var c=1,d=b.length;while(--d>=0)c*=b[d];return c},a.min=function(b){var c=b[0],d=0;while(++d<b.length)b[d]<c&&(c=b[d]);return c},a.max=function(b){var c=b[0],d=0;while(++d<b.length)b[d]>c&&(c=b[d]);return c},a.mean=function(c){return a.sum(c)/c.length},a.meansqerr=function(c){return a.sumsqerr(c)/c.length},a.geomean=function(d){return b.pow(a.product(d),1/d.length)},a.median=function(b){var c=b.length,e=b.slice().sort(d);return c&1?e[c/2|0]:(e[c/2-1]+e[c/2])/2},a.cumsum=function(c){return a.cumreduce(c,function(a,b){return a+b})},a.cumprod=function(c){return a.cumreduce(c,function(a,b){return a*b})},a.diff=function(b){var c=[],d=b.length,e;for(e=1;e<d;e++)c.push(b[e]-b[e-1]);return c},a.mode=function(b){var c=b.length,e=b.slice().sort(d),f=1,g=0,h=0,i=[],j;for(j=0;j<c;j++)e[j]===e[j+1]?f++:(f>g?(i=[e[j]],g=f,h=0):f===g&&(i.push(e[j]),h++),f=1);return h===0?i[0]:i},a.range=function(c){return a.max(c)-a.min(c)},a.variance=function(c,d){return a.sumsqerr(c)/(c.length-(d?1:0))},a.stdev=function(d,e){return b.sqrt(a.variance(d,e))},a.meandev=function(d){var e=0,f=a.mean(d),g;for(g=d.length-1;g>=0;g--)e+=b.abs(d[g]-f);return e/d.length},a.meddev=function(d){var e=0,f=a.median(d),g;for(g=d.length-1;g>=0;g--)e+=b.abs(d[g]-f);return e/d.length},a.coeffvar=function(c){return a.stdev(c)/a.mean(c)},a.quartiles=function(c){var e=c.length,f=c.slice().sort(d);return[f[b.round(e/4)-1],f[b.round(e/2)-1],f[b.round(e*3/4)-1]]},a.quantiles=function(c,f,g,h){var i=c.slice().sort(d),j=[f.length],k=c.length,l,m,n,o,p,q;typeof g=="undefined"&&(g=3/8),typeof h=="undefined"&&(h=3/8);for(l=0;l<f.length;l++)m=f[l],n=g+m*(1-g-h),o=k*m+n,p=b.floor(e(o,1,k-1)),q=e(o-p,0,1),j[l]=(1-q)*i[p-1]+q*i[p];return j},a.percentile=function(b,c){var e=b.slice().sort(d),f=c*(e.length-1),g=parseInt(f),h=f-g;return g+1<e.length?e[g]*(1-h)+e[g+1]*h:e[g]},a.percentileOfScore=function(b,c,d){var e=0,f=b.length,g=!1,h,i;d==="strict"&&(g=!0);for(i=0;i<f;i++)h=b[i],(g&&h<c||!g&&h<=c)&&e++;return e/f},a.histogram=function(d,e){var f=a.min(d),g=e||4,h=(a.max(d)-f)/g,i=d.length,e=[],j;for(j=0;j<g;j++)e[j]=0;for(j=0;j<i;j++)e[b.min(b.floor((d[j]-f)/h),g-1)]+=1;return e},a.covariance=function(c,d){var e=a.mean(c),f=a.mean(d),g=c.length,h=new Array(g),i;for(i=0;i<g;i++)h[i]=(c[i]-e)*(d[i]-f);return a.sum(h)/(g-1)},a.corrcoeff=function(c,d){return a.covariance(c,d)/a.stdev(c,1)/a.stdev(d,1)},a.stanMoment=function(d,e){var f=a.mean(d),g=a.stdev(d),h=d.length,j=0;for(i=0;i<h;i++)j+=b.pow((d[i]-f)/g,e);return j/d.length},a.skewness=function(c){return a.stanMoment(c,3)},a.kurtosis=function(c){return a.stanMoment(c,4)-3};var f=a.prototype;(function(b){for(var d=0;d<b.length;d++)(function(b){f[b]=function(d,e){var g=[],h=0,i=this;c(d)&&(e=d,d=!1);if(e)return setTimeout(function(){e.call(i,f[b].call(i,d))}),this;if(this.length>1){i=d===!0?this:this.transpose();for(;h<i.length;h++)g[h]=a[b](i[h]);return g}return a[b](this[0],d)}})(b[d])})("cumsum cumprod".split(" ")),function(b){for(var d=0;d<b.length;d++)(function(b){f[b]=function(d,e){var g=[],h=0,i=this;c(d)&&(e=d,d=!1);if(e)return setTimeout(function(){e.call(i,f[b].call(i,d))}),this;if(this.length>1){b!=="sumrow"&&(i=d===!0?this:this.transpose());for(;h<i.length;h++)g[h]=a[b](i[h]);return d===!0?a[b](a.utils.toVector(g)):g}return a[b](this[0],d)}})(b[d])}("sum sumsqrd sumsqerr sumrow product min max mean meansqerr geomean median diff mode range variance stdev meandev meddev coeffvar quartiles histogram skewness kurtosis".split(" ")),function(b){for(var d=0;d<b.length;d++)(function(b){f[b]=function(){var d=[],e=0,g=this,h=Array.prototype.slice.call(arguments);if(c(h[h.length-1])){var i=h[h.length-1],j=h.slice(0,h.length-1);return setTimeout(function(){i.call(g,f[b].apply(g,j))}),this}var i=undefined,k=function(d){return a[b].apply(g,[d].concat(h))};if(this.length>1){g=g.transpose();for(;e<g.length;e++)d[e]=k(g[e]);return d}return k(this[0])}})(b[d])}("quantiles percentileOfScore".split(" "))}(this.jStat,Math),function(a,b){a.gammaln=function(c){var d=0,e=[76.18009172947146,-86.50532032941678,24.01409824083091,-1.231739572450155,.001208650973866179,-0.000005395239384953],f=1.000000000190015,g,h,i;i=(h=g=c)+5.5,i-=(g+.5)*b.log(i);for(;d<6;d++)f+=e[d]/++h;return b.log(2.5066282746310007*f/g)-i},a.gammafn=function(c){var d=[-1.716185138865495,24.76565080557592,-379.80425647094563,629.3311553128184,866.9662027904133,-31451.272968848367,-36144.413418691176,66456.14382024054],e=[-30.8402300119739,315.35062697960416,-1015.1563674902192,-3107.771671572311,22538.11842098015,4755.846277527881,-134659.9598649693,-115132.2596755535],f=!1,g=0,h=0,i=0,j=c,k,l,m,n,o,p;if(j<=0){n=j%1+3.6e-16;if(n)f=(j&1?-1:1)*b.PI/b.sin(b.PI*n),j=1-j;else return Infinity}m=j,j<1?l=j++:l=(j-=g=(j|0)-1)-1;for(k=0;k<8;++k)i=(i+d[k])*l,h=h*l+e[k];n=i/h+1;if(m<j)n/=m;else if(m>j)for(k=0;k<g;++k)n*=j,j++;return f&&(n=f/n),n},a.gammap=function(c,d){return a.lowRegGamma(c,d)*a.gammafn(c)},a.lowRegGamma=function(d,e){var f=a.gammaln(d),g=d,h=1/d,i=h,j=e+1-d,k=1/1e-30,l=1/j,m=l,n=1,o=-~(b.log(d>=1?d:1/d)*8.5+d*.4+17),p,q;if(e<0||d<=0)return NaN;if(e<d+1){for(;n<=o;n++)h+=i*=e/++g;return h*b.exp(-e+d*b.log(e)-f)}for(;n<=o;n++)p=-n*(n-d),j+=2,l=p*l+j,k=j+p/k,l=1/l,m*=l*k;return 1-m*b.exp(-e+d*b.log(e)-f)},a.factorialln=function(c){return c<0?NaN:a.gammaln(c+1)},a.factorial=function(c){return c<0?NaN:a.gammafn(c+1)},a.combination=function(d,e){return d>170||e>170?b.exp(a.combinationln(d,e)):a.factorial(d)/a.factorial(e)/a.factorial(d-e)},a.combinationln=function(c,d){return a.factorialln(c)-a.factorialln(d)-a.factorialln(c-d)},a.permutation=function(c,d){return a.factorial(c)/a.factorial(c-d)},a.betafn=function(d,e){return d<=0||e<=0?undefined:d+e>170?b.exp(a.betaln(d,e)):a.gammafn(d)*a.gammafn(e)/a.gammafn(d+e)},a.betaln=function(c,d){return a.gammaln(c)+a.gammaln(d)-a.gammaln(c+d)},a.betacf=function(c,d,e){var f=1e-30,g=1,h=d+e,i=d+1,j=d-1,k=1,l=1-h*c/i,m,n,o,p;b.abs(l)<f&&(l=f),l=1/l,p=l;for(;g<=100;g++){m=2*g,n=g*(e-g)*c/((j+m)*(d+m)),l=1+n*l,b.abs(l)<f&&(l=f),k=1+n/k,b.abs(k)<f&&(k=f),l=1/l,p*=l*k,n=-(d+g)*(h+g)*c/((d+m)*(i+m)),l=1+n*l,b.abs(l)<f&&(l=f),k=1+n/k,b.abs(k)<f&&(k=f),l=1/l,o=l*k,p*=o;if(b.abs(o-1)<3e-7)break}return p},a.gammapinv=function(d,e){var f=0,g=e-1,h=1e-8,i=a.gammaln(e),j,k,l,m,n,o,p;if(d>=1)return b.max(100,e+100*b.sqrt(e));if(d<=0)return 0;e>1?(o=b.log(g),p=b.exp(g*(o-1)-i),n=d<.5?d:1-d,l=b.sqrt(-2*b.log(n)),j=(2.30753+l*.27061)/(1+l*(.99229+l*.04481))-l,d<.5&&(j=-j),j=b.max(.001,e*b.pow(1-1/(9*e)-j/(3*b.sqrt(e)),3))):(l=1-e*(.253+e*.12),d<l?j=b.pow(d/l,1/e):j=1-b.log(1-(d-l)/(1-l)));for(;f<12;f++){if(j<=0)return 0;k=a.lowRegGamma(e,j)-d,e>1?l=p*b.exp(-(j-g)+g*(b.log(j)-o)):l=b.exp(-j+g*b.log(j)-i),m=k/l,j-=l=m/(1-.5*b.min(1,m*((e-1)/j-1))),j<=0&&(j=.5*(j+l));if(b.abs(l)<h*j)break}return j},a.erf=function(c){var d=[-1.3026537197817094,.6419697923564902,.019476473204185836,-0.00956151478680863,-0.000946595344482036,.000366839497852761,42523324806907e-18,-0.000020278578112534,-0.000001624290004647,130365583558e-17,1.5626441722e-8,-8.5238095915e-8,6.529054439e-9,5.059343495e-9,-9.91364156e-10,-2.27365122e-10,9.6467911e-11,2.394038e-12,-6.886027e-12,8.94487e-13,3.13092e-13,-1.12708e-13,3.81e-16,7.106e-15,-1.523e-15,-9.4e-17,1.21e-16,-2.8e-17],e=d.length-1,f=!1,g=0,h=0,i,j,k,l;c<0&&(c=-c,f=!0),i=2/(2+c),j=4*i-2;for(;e>0;e--)k=g,g=j*g-h+d[e],h=k;return l=i*b.exp(-c*c+.5*(d[0]+j*g)-h),f?l-1:1-l},a.erfc=function(c){return 1-a.erf(c)},a.erfcinv=function(d){var e=0,f,g,h,i;if(d>=2)return-100;if(d<=0)return 100;i=d<1?d:2-d,h=b.sqrt(-2*b.log(i/2)),f=-0.70711*((2.30753+h*.27061)/(1+h*(.99229+h*.04481))-h);for(;e<2;e++)g=a.erfc(f)-i,f+=g/(1.1283791670955126*b.exp(-f*f)-f*g);return d<1?f:-f},a.ibetainv=function(d,e,f){var g=1e-8,h=e-1,i=f-1,j=0,k,l,m,n,o,p,q,r,s,t,u;if(d<=0)return 0;if(d>=1)return 1;e>=1&&f>=1?(m=d<.5?d:1-d,n=b.sqrt(-2*b.log(m)),q=(2.30753+n*.27061)/(1+n*(.99229+n*.04481))-n,d<.5&&(q=-q),r=(q*q-3)/6,s=2/(1/(2*e-1)+1/(2*f-1)),t=q*b.sqrt(r+s)/s-(1/(2*f-1)-1/(2*e-1))*(r+5/6-2/(3*s)),q=e/(e+f*b.exp(2*t))):(k=b.log(e/(e+f)),l=b.log(f/(e+f)),n=b.exp(e*k)/e,o=b.exp(f*l)/f,t=n+o,d<n/t?q=b.pow(e*t*d,1/e):q=1-b.pow(f*t*(1-d),1/f)),u=-a.gammaln(e)-a.gammaln(f)+a.gammaln(e+f);for(;j<10;j++){if(q===0||q===1)return q;p=a.ibeta(q,e,f)-d,n=b.exp(h*b.log(q)+i*b.log(1-q)+u),o=p/n,q-=n=o/(1-.5*b.min(1,o*(h/q-i/(1-q)))),q<=0&&(q=.5*(q+n)),q>=1&&(q=.5*(q+n+1));if(b.abs(n)<g*q&&j>0)break}return q},a.ibeta=function(d,e,f){var g=d===0||d===1?0:b.exp(a.gammaln(e+f)-a.gammaln(e)-a.gammaln(f)+e*b.log(d)+f*b.log(1-d));return d<0||d>1?!1:d<(e+1)/(e+f+2)?g*a.betacf(d,e,f)/e:1-g*a.betacf(1-d,f,e)/f},a.randn=function(d,e){var f,g,h,i,j,k;e||(e=d);if(d)return a.create(d,e,function(){return a.randn()});do f=b.random(),g=1.7156*(b.random()-.5),h=f-.449871,i=b.abs(g)+.386595,j=h*h+i*(.196*i-.25472*h);while(j>.27597&&(j>.27846||g*g>-4*b.log(f)*f*f));return g/f},a.randg=function(d,e,f){var g=d,h,i,j,k,l,m;f||(f=e),d||(d=1);if(e)return m=a.zeros(e,f),m.alter(function(){return a.randg(d)}),m;d<1&&(d+=1),h=d-1/3,i=1/b.sqrt(9*h);do{do l=a.randn(),k=1+i*l;while(k<=0);k=k*k*k,j=b.random()}while(j>1-.331*b.pow(l,4)&&b.log(j)>.5*l*l+h*(1-k+b.log(k)));if(d==g)return h*k;do j=b.random();while(j===0);return b.pow(j,1/g)*h*k},function(b){for(var c=0;c<b.length;c++)(function(b){a.fn[b]=function(){return a(a.map(this,function(c){return a[b](c)}))}})(b[c])}("gammaln gammafn factorial factorialln".split(" ")),function(b){for(var c=0;c<b.length;c++)(function(b){a.fn[b]=function(){return a(a[b].apply(null,arguments))}})(b[c])}("randn".split(" "))}(this.jStat,Math),function(a,b){(function(b){for(var c=0;c<b.length;c++)(function(b){a[b]=function(a,b,c){return this instanceof arguments.callee?(this._a=a,this._b=b,this._c=c,this):new arguments.callee(a,b,c)},a.fn[b]=function(c,d,e){var f=a[b](c,d,e);return f.data=this,f},a[b].prototype.sample=function(c){var d=this._a,e=this._b,f=this._c;return c?a.alter(c,function(){return a[b].sample(d,e,f)}):a[b].sample(d,e,f)},function(c){for(var d=0;d<c.length;d++)(function(c){a[b].prototype[c]=function(d){var e=this._a,f=this._b,g=this._c;return!d&&d!==0&&(d=this.data),typeof d!="number"?a.fn.map.call(d,function(d){return a[b][c](d,e,f,g)}):a[b][c](d,e,f,g)}})(c[d])}("pdf cdf inv".split(" ")),function(c){for(var d=0;d<c.length;d++)(function(c){a[b].prototype[c]=function(){return a[b][c](this._a,this._b,this._c)}})(c[d])}("mean median mode variance".split(" "))})(b[c])})("beta centralF cauchy chisquare exponential gamma invgamma kumaraswamy lognormal noncentralt normal pareto studentt weibull uniform binomial negbin hypgeom poisson triangular".split(" ")),a.extend(a.beta,{pdf:function(d,e,f){return d>1||d<0?0:e==1&&f==1?1:e<512||f<512?b.pow(d,e-1)*b.pow(1-d,f-1)/a.betafn(e,f):b.exp((e-1)*b.log(d)+(f-1)*b.log(1-d)-a.betaln(e,f))},cdf:function(c,d,e){return c>1||c<0?(c>1)*1:a.ibeta(c,d,e)},inv:function(c,d,e){return a.ibetainv(c,d,e)},mean:function(b,c){return b/(b+c)},median:function(c,d){return a.ibetainv(.5,c,d)},mode:function(b,c){return(b-1)/(b+c-2)},sample:function(c,d){var e=a.randg(c);return e/(e+a.randg(d))},variance:function(c,d){return c*d/(b.pow(c+d,2)*(c+d+1))}}),a.extend(a.centralF,{pdf:function(d,e,f){var g,h,i;return d<0?0:e<=2?d===0&&e<2?Infinity:d===0&&e===2?1:b.sqrt(b.pow(e*d,e)*b.pow(f,f)/b.pow(e*d+f,e+f))/(d*a.betafn(e/2,f/2)):(g=e*d/(f+d*e),h=f/(f+d*e),i=e*h/2,i*a.binomial.pdf((e-2)/2,(e+f-2)/2,g))},cdf:function(c,d,e){return c<0?0:a.ibeta(d*c/(d*c+e),d/2,e/2)},inv:function(c,d,e){return e/(d*(1/a.ibetainv(c,d/2,e/2)-1))},mean:function(b,c){return c>2?c/(c-2):undefined},mode:function(b,c){return b>2?c*(b-2)/(b*(c+2)):undefined},sample:function(c,d){var e=a.randg(c/2)*2,f=a.randg(d/2)*2;return e/c/(f/d)},variance:function(b,c){return c<=4?undefined:2*c*c*(b+c-2)/(b*(c-2)*(c-2)*(c-4))}}),a.extend(a.cauchy,{pdf:function(c,d,e){return e/(b.pow(c-d,2)+b.pow(e,2))/b.PI},cdf:function(c,d,e){return b.atan((c-d)/e)/b.PI+.5},inv:function(a,c,d){return c+d*b.tan(b.PI*(a-.5))},median:function(b,c){return b},mode:function(b,c){return b},sample:function(d,e){return a.randn()*b.sqrt(1/(2*a.randg(.5)))*e+d}}),a.extend(a.chisquare,{pdf:function(d,e){return d<0?0:d===0&&e===2?.5:b.exp((e/2-1)*b.log(d)-d/2-e/2*b.log(2)-a.gammaln(e/2))},cdf:function(c,d){return c<0?0:a.lowRegGamma(d/2,c/2)},inv:function(b,c){return 2*a.gammapinv(b,.5*c)},mean:function(a){return a},median:function(c){return c*b.pow(1-2/(9*c),3)},mode:function(b){return b-2>0?b-2:0},sample:function(c){return a.randg(c/2)*2},variance:function(b){return 2*b}}),a.extend(a.exponential,{pdf:function(c,d){return c<0?0:d*b.exp(-d*c)},cdf:function(c,d){return c<0?0:1-b.exp(-d*c)},inv:function(a,c){return-b.log(1-a)/c},mean:function(a){return 1/a},median:function(a){return 1/a*b.log(2)},mode:function(b){return 0},sample:function(c){return-1/c*b.log(b.random())},variance:function(a){return b.pow(a,-2)}}),a.extend(a.gamma,{pdf:function(d,e,f){return d<0?0:d===0&&e===1?1/f:b.exp((e-1)*b.log(d)-d/f-a.gammaln(e)-e*b.log(f))},cdf:function(c,d,e){return c<0?0:a.lowRegGamma(d,c/e)},inv:function(b,c,d){return a.gammapinv(b,c)*d},mean:function(a,b){return a*b},mode:function(b,c){return b>1?(b-1)*c:undefined},sample:function(c,d){return a.randg(c)*d},variance:function(b,c){return b*c*c}}),a.extend(a.invgamma,{pdf:function(d,e,f){return d<=0?0:b.exp(-(e+1)*b.log(d)-f/d-a.gammaln(e)+e*b.log(f))},cdf:function(c,d,e){return c<=0?0:1-a.lowRegGamma(d,e/c)},inv:function(b,c,d){return d/a.gammapinv(1-b,c)},mean:function(a,b){return a>1?b/(a-1):undefined},mode:function(b,c){return c/(b+1)},sample:function(c,d){return d/a.randg(c)},variance:function(b,c){return b<=2?undefined:c*c/((b-1)*(b-1)*(b-2))}}),a.extend(a.kumaraswamy,{pdf:function(c,d,e){return c===0&&d===1?e:c===1&&e===1?d:b.exp(b.log(d)+b.log(e)+(d-1)*b.log(c)+(e-1)*b.log(1-b.pow(c,d)))},cdf:function(c,d,e){return c<0?0:c>1?1:1-b.pow(1-b.pow(c,d),e)},inv:function(c,d,e){return b.pow(1-b.pow(1-c,1/e),1/d)},mean:function(b,c){return c*a.gammafn(1+1/b)*a.gammafn(c)/a.gammafn(1+1/b+c)},median:function(c,d){return b.pow(1-b.pow(2,-1/d),1/c)},mode:function(c,d){return c>=1&&d>=1&&c!==1&&d!==1?b.pow((c-1)/(c*d-1),1/c):undefined},variance:function(b,c){throw new Error("variance not yet implemented")}}),a.extend(a.lognormal,{pdf:function(c,d,e){return c<=0?0:b.exp(-b.log(c)-.5*b.log(2*b.PI)-b.log(e)-b.pow(b.log(c)-d,2)/(2*e*e))},cdf:function(d,e,f){return d<0?0:.5+.5*a.erf((b.log(d)-e)/b.sqrt(2*f*f))},inv:function(c,d,e){return b.exp(-1.4142135623730951*e*a.erfcinv(2*c)+d)},mean:function(c,d){return b.exp(c+d*d/2)},median:function(c,d){return b.exp(c)},mode:function(c,d){return b.exp(c-d*d)},sample:function(d,e){return b.exp(a.randn()*e+d)},variance:function(c,d){return(b.exp(d*d)-1)*b.exp(2*c+d*d)}}),a.extend(a.noncentralt,{pdf:function(d,e,f){var g=1e-14;return b.abs(f)<g?a.studentt.pdf(d,e):b.abs(d)<g?b.exp(a.gammaln((e+1)/2)-f*f/2-.5*b.log(b.PI*e)-a.gammaln(e/2)):e/d*(a.noncentralt.cdf(d*b.sqrt(1+2/e),e+2,f)-a.noncentralt.cdf(d,e,f))},cdf:function(d,e,f){var g=1e-14,h=200;if(b.abs(f)<g)return a.studentt.cdf(d,e);var i=!1;d<0&&(i=!0,f=-f);var j=a.normal.cdf(-f,0,1),k=g+1,l=k,m=d*d/(d*d+e),n=0,o=b.exp(-f*f/2),p=b.exp(-f*f/2-.5*b.log(2)-a.gammaln(1.5))*f;while(n<h||l>g||k>g)l=k,n>0&&(o*=f*f/(2*n),p*=f*f/(2*(n+.5))),k=o*a.beta.cdf(m,n+.5,e/2)+p*a.beta.cdf(m,n+1,e/2),j+=.5*k,n++;return i?1-j:j}}),a.extend(a.normal,{pdf:function(c,d,e){return b.exp(-0.5*b.log(2*b.PI)-b.log(e)-b.pow(c-d,2)/(2*e*e))},cdf:function(d,e,f){return.5*(1+a.erf((d-e)/b.sqrt(2*f*f)))},inv:function(b,c,d){return-1.4142135623730951*d*a.erfcinv(2*b)+c},mean:function(a,b){return a},median:function(b,c){return b},mode:function(a,b){return a},sample:function(c,d){return a.randn()*d+c},variance:function(a,b){return b*b}}),a.extend(a.pareto,{pdf:function(c,d,e){return c<d?0:e*b.pow(d,e)/b.pow(c,e+1)},cdf:function(c,d,e){return c<d?0:1-b.pow(d/c,e)},inv:function(c,d,e){return d/b.pow(1-c,1/e)},mean:function(c,d){return d<=1?undefined:d*b.pow(c,d)/(d-1)},median:function(c,d){return c*d*b.SQRT2},mode:function(b,c){return b},variance:function(a,c){return c<=2?undefined:a*a*c/(b.pow(c-1,2)*(c-2))}}),a.extend(a.studentt,{pdf:function(d,e){return e=e>1e+100?1e+100:e,1/(b.sqrt(e)*a.betafn(.5,e/2))*b.pow(1+d*d/e,-((e+1)/2))},cdf:function(d,e){var f=e/2;return a.ibeta((d+b.sqrt(d*d+e))/(2*b.sqrt(d*d+e)),f,f)},inv:function(c,d){var e=a.ibetainv(2*b.min(c,1-c),.5*d,.5);return e=b.sqrt(d*(1-e)/e),c>.5?e:-e},mean:function(b){return b>1?0:undefined},median:function(b){return 0},mode:function(b){return 0},sample:function(d){return a.randn()*b.sqrt(d/(2*a.randg(d/2)))},variance:function(b){return b>2?b/(b-2):b>1?Infinity:undefined}}),a.extend(a.weibull,{pdf:function(c,d,e){return c<0?0:e/d*b.pow(c/d,e-1)*b.exp(-b.pow(c/d,e))},cdf:function(c,d,e){return c<0?0:1-b.exp(-b.pow(c/d,e))},inv:function(a,c,d){return c*b.pow(-b.log(1-a),1/d)},mean:function(b,c){return b*a.gammafn(1+1/c)},median:function(c,d){return c*b.pow(b.log(2),1/d)},mode:function(c,d){return d<=1?undefined:c*b.pow((d-1)/d,1/d)},sample:function(c,d){return c*b.pow(-b.log(b.random()),1/d)},variance:function(d,e){return d*d*a.gammafn(1+2/e)-b.pow(this.mean(d,e),2)}}),a.extend(a.uniform,{pdf:function(b,c,d){return b<c||b>d?0:1/(d-c)},cdf:function(b,c,d){return b<c?0:b<d?(b-c)/(d-c):1},inv:function(a,b,c){return b+a*(c-b)},mean:function(b,c){return.5*(b+c)},median:function(c,d){return a.mean(c,d)},mode:function(b,c){throw new Error("mode is not yet implemented")},sample:function(c,d){return c/2+d/2+(d/2-c/2)*(2*b.random()-1)},variance:function(c,d){return b.pow(d-c,2)/12}}),a.extend(a.binomial,{pdf:function(d,e,f){return f===0||f===1?e*f===d?1:0:a.combination(e,d)*b.pow(f,d)*b.pow(1-f,e-d)},cdf:function(c,d,e){var f=[],g=0;if(c<0)return 0;if(c<d){for(;g<=c;g++)f[g]=a.binomial.pdf(g,d,e);return a.sum(f)}return 1}}),a.extend(a.negbin,{pdf:function(d,e,f){return d!==d|0?!1:d<0?0:a.combination(d+e-1,e-1)*b.pow(1-f,d)*b.pow(f,e)},cdf:function(c,d,e){var f=0,g=0;if(c<0)return 0;for(;g<=c;g++)f+=a.negbin.pdf(g,d,e);return f}}),a.extend(a.hypgeom,{pdf:function(d,e,f,g){if(d!==d|0)return!1;if(d<0||d<f-(e-g))return 0;if(d>g||d>f)return 0;if(f*2>e)return g*2>e?a.hypgeom.pdf(e-f-g+d,e,e-f,e-g):a.hypgeom.pdf(g-d,e,e-f,g);if(g*2>e)return a.hypgeom.pdf(f-d,e,f,e-g);if(f<g)return a.hypgeom.pdf(d,e,g,f);var h=1,i=0;for(var j=0;j<d;j++){while(h>1&&i<g)h*=1-f/(e-i),i++;h*=(g-j)*(f-j)/((j+1)*(e-f-g+j+1))}for(;i<g;i++)h*=1-f/(e-i);return b.min(1,b.max(0,h))},cdf:function(d,e,f,g){if(d<0||d<f-(e-g))return 0;if(d>=g||d>=f)return 1;if(f*2>e)return g*2>e?a.hypgeom.cdf(e-f-g+d,e,e-f,e-g):1-a.hypgeom.cdf(g-d-1,e,e-f,g);if(g*2>e)return 1-a.hypgeom.cdf(f-d-1,e,f,e-g);if(f<g)return a.hypgeom.cdf(d,e,g,f);var h=1,i=1,j=0;for(var k=0;k<d;k++){while(h>1&&j<g){var l=1-f/(e-j);i*=l,h*=l,j++}i*=(g-k)*(f-k)/((k+1)*(e-f-g+k+1)),h+=i}for(;j<g;j++)h*=1-f/(e-j);return b.min(1,b.max(0,h))}}),a.extend(a.poisson,{pdf:function(d,e){return b.pow(e,d)*b.exp(-e)/a.factorial(d)},cdf:function(c,d){var e=[],f=0;if(c<0)return 0;for(;f<=c;f++)e.push(a.poisson.pdf(f,d));return a.sum(e)},mean:function(a){return a},variance:function(a){return a},sample:function(c){var d=1,e=0,f=b.exp(-c);do e++,d*=b.random();while(d>f);return e-1}}),a.extend(a.triangular,{pdf:function(b,c,d,e){return d<=c||e<c||e>d?NaN:b<c||b>d?0:b<e?2*(b-c)/((d-c)*(e-c)):b===e?2/(d-c):2*(d-b)/((d-c)*(d-e))},cdf:function(c,d,e,f){return e<=d||f<d||f>e?NaN:c<=d?0:c>=e?1:c<=f?b.pow(c-d,2)/((e-d)*(f-d)):1-b.pow(e-c,2)/((e-d)*(e-f))},mean:function(b,c,d){return(b+c+d)/3},median:function(c,d,e){if(e<=(c+d)/2)return d-b.sqrt((d-c)*(d-e))/b.sqrt(2);if(e>(c+d)/2)return c+b.sqrt((d-c)*(e-c))/b.sqrt(2)},mode:function(b,c,d){return d},sample:function(c,d,e){var f=b.random();return f<(e-c)/(d-c)?c+b.sqrt(f*(d-c)*(e-c)):d-b.sqrt((1-f)*(d-c)*(d-e))},variance:function(b,c,d){return(b*b+c*c+d*d-b*c-b*d-c*d)/18}})}(this.jStat,Math),function(a,b){var d=Array.prototype.push,e=a.utils.isArray;a.extend({add:function(c,d){return e(d)?(e(d[0])||(d=[d]),a.map(c,function(a,b,c){return a+d[b][c]})):a.map(c,function(a){return a+d})},subtract:function(c,d){return e(d)?(e(d[0])||(d=[d]),a.map(c,function(a,b,c){return a-d[b][c]||0})):a.map(c,function(a){return a-d})},divide:function(c,d){return e(d)?(e(d[0])||(d=[d]),a.multiply(c,a.inv(d))):a.map(c,function(a){return a/d})},multiply:function(c,d){var f,g,h,i,j=c.length,k=c[0].length,l=a.zeros(j,h=e(d)?d[0].length:k),m=0;if(e(d)){for(;m<h;m++)for(f=0;f<j;f++){i=0;for(g=0;g<k;g++)i+=c[f][g]*d[g][m];l[f][m]=i}return j===1&&m===1?l[0][0]:l}return a.map(c,function(a){return a*d})},dot:function(c,d){e(c[0])||(c=[c]),e(d[0])||(d=[d]);var f=c[0].length===1&&c.length!==1?a.transpose(c):c,g=d[0].length===1&&d.length!==1?a.transpose(d):d,h=[],i=0,j=f.length,k=f[0].length,l,m;for(;i<j;i++){h[i]=[],l=0;for(m=0;m<k;m++)l+=f[i][m]*g[i][m];h[i]=l}return h.length===1?h[0]:h},pow:function(d,e){return a.map(d,function(a){return b.pow(a,e)})},exp:function(d){return a.map(d,function(a){return b.exp(a)})},log:function(d){return a.map(d,function(a){return b.log(a)})},abs:function(d){return a.map(d,function(a){return b.abs(a)})},norm:function(c,d){var f=0,g=0;isNaN(d)&&(d=2),e(c[0])&&(c=c[0]);for(;g<c.length;g++)f+=b.pow(b.abs(c[g]),d);return b.pow(f,1/d)},angle:function(d,e){return b.acos(a.dot(d,e)/(a.norm(d)*a.norm(e)))},aug:function(b,c){var e=b.slice(),f=0;for(;f<e.length;f++)d.apply(e[f],c[f]);return e},inv:function(c){var d=c.length,e=c[0].length,f=a.identity(d,e),g=a.gauss_jordan(c,f),h=[],i=0,j;for(;i<d;i++){h[i]=[];for(j=e;j<g[0].length;j++)h[i][j-e]=g[i][j]}return h},det:function(b){var c=b.length,d=c*2,e=new Array(d),f=c-1,g=d-1,h=f-c+1,i=g,j=0,k=0,l;if(c===2)return b[0][0]*b[1][1]-b[0][1]*b[1][0];for(;j<d;j++)e[j]=1;for(j=0;j<c;j++){for(l=0;l<c;l++)e[h<0?h+c:h]*=b[j][l],e[i<c?i+c:i]*=b[j][l],h++,i--;h=--f-c+1,i=--g}for(j=0;j<c;j++)k+=e[j];for(;j<d;j++)k-=e[j];return k},gauss_elimination:function(d,e){var f=0,g=0,h=d.length,i=d[0].length,j=1,k=0,l=[],m,n,o,p;d=a.aug(d,e),m=d[0].length;for(f=0;f<h;f++){n=d[f][f],g=f;for(p=f+1;p<i;p++)n<b.abs(d[p][f])&&(n=d[p][f],g=p);if(g!=f)for(p=0;p<m;p++)o=d[f][p],d[f][p]=d[g][p],d[g][p]=o;for(g=f+1;g<h;g++){j=d[g][f]/d[f][f];for(p=f;p<m;p++)d[g][p]=d[g][p]-j*d[f][p]}}for(f=h-1;f>=0;f--){k=0;for(g=f+1;g<=h-1;g++)k+=l[g]*d[f][g];l[f]=(d[f][m-1]-k)/d[f][f]}return l},gauss_jordan:function(e,f){var g=a.aug(e,f),h=g.length,i=g[0].length;for(var j=0;j<h;j++){var k=j;for(var l=j+1;l<h;l++)b.abs(g[l][j])>b.abs(g[k][j])&&(k=l);var m=g[j];g[j]=g[k],g[k]=m;for(var l=j+1;l<h;l++){c=g[l][j]/g[j][j];for(var n=j;n<i;n++)g[l][n]-=g[j][n]*c}}for(var j=h-1;j>=0;j--){c=g[j][j];for(var l=0;l<j;l++)for(var n=i-1;n>j-1;n--)g[l][n]-=g[j][n]*g[l][j]/c;g[j][j]/=c;for(var n=h;n<i;n++)g[j][n]/=c}return g},lu:function(b,c){throw new Error("lu not yet implemented")},cholesky:function(b,c){throw new Error("cholesky not yet implemented")},gauss_jacobi:function(d,e,f,g){var h=0,i=0,j=d.length,k=[],l=[],m=[],n,o,p,q;for(;h<j;h++){k[h]=[],l[h]=[],m[h]=[];for(i=0;i<j;i++)h>i?(k[h][i]=d[h][i],l[h][i]=m[h][i]=0):h<i?(l[h][i]=d[h][i],k[h][i]=m[h][i]=0):(m[h][i]=d[h][i],k[h][i]=l[h][i]=0)}p=a.multiply(a.multiply(a.inv(m),a.add(k,l)),-1),o=a.multiply(a.inv(m),e),n=f,q=a.add(a.multiply(p,f),o),h=2;while(b.abs(a.norm(a.subtract(q,n)))>g)n=q,q=a.add(a.multiply(p,n),o),h++;return q},gauss_seidel:function(d,e,f,g){var h=0,i=d.length,j=[],k=[],l=[],m,n,o,p,q;for(;h<i;h++){j[h]=[],k[h]=[],l[h]=[];for(m=0;m<i;m++)h>m?(j[h][m]=d[h][m],k[h][m]=l[h][m]=0):h<m?(k[h][m]=d[h][m],j[h][m]=l[h][m]=0):(l[h][m]=d[h][m],j[h][m]=k[h][m]=0)}p=a.multiply(a.multiply(a.inv(a.add(l,j)),k),-1),o=a.multiply(a.inv(a.add(l,j)),e),n=f,q=a.add(a.multiply(p,f),o),h=2;while(b.abs(a.norm(a.subtract(q,n)))>g)n=q,q=a.add(a.multiply(p,n),o),h+=1;return q},SOR:function(d,e,f,g,h){var i=0,j=d.length,k=[],l=[],m=[],n,o,p,q,r;for(;i<j;i++){k[i]=[],l[i]=[],m[i]=[];for(n=0;n<j;n++)i>n?(k[i][n]=d[i][n],l[i][n]=m[i][n]=0):i<n?(l[i][n]=d[i][n],k[i][n]=m[i][n]=0):(m[i][n]=d[i][n],k[i][n]=l[i][n]=0)}q=a.multiply(a.inv(a.add(m,a.multiply(k,h))),a.subtract(a.multiply(m,1-h),a.multiply(l,h))),p=a.multiply(a.multiply(a.inv(a.add(m,a.multiply(k,h))),e),h),o=f,r=a.add(a.multiply(q,f),p),i=2;while(b.abs(a.norm(a.subtract(r,o)))>g)o=r,r=a.add(a.multiply(q,o),p),i++;return r},householder:function(d){var e=d.length,f=d[0].length,g=0,h=[],i=[],j,k,l,m,n;for(;g<e-1;g++){j=0;for(m=g+1;m<f;m++)j+=d[m][g]*d[m][g];n=d[g+1][g]>0?-1:1,j=n*b.sqrt(j),k=b.sqrt((j*j-d[g+1][g]*j)/2),h=a.zeros(e,1),h[g+1][0]=(d[g+1][g]-j)/(2*k);for(l=g+2;l<e;l++)h[l][0]=d[l][g]/(2*k);i=a.subtract(a.identity(e,f),a.multiply(a.multiply(h,a.transpose(h)),2)),d=a.multiply(i,a.multiply(d,i))}return d},QR:function(d,e){var f=d.length,g=d[0].length,h=0,i=[],j=[],k=[],l,m,n,o,p,q;for(;h<f-1;h++){m=0;for(l=h+1;l<g;l++)m+=d[l][h]*d[l][h];p=d[h+1][h]>0?-1:1,m=p*b.sqrt(m),n=b.sqrt((m*m-d[h+1][h]*m)/2),i=a.zeros(f,1),i[h+1][0]=(d[h+1][h]-m)/(2*n);for(o=h+2;o<f;o++)i[o][0]=d[o][h]/(2*n);j=a.subtract(a.identity(f,g),a.multiply(a.multiply(i,a.transpose(i)),2)),d=a.multiply(j,d),e=a.multiply(j,e)}for(h=f-1;h>=0;h--){q=0;for(l=h+1;l<=g-1;l++)q=k[l]*d[h][l];k[h]=e[h][0]/d[h][h]}return k},jacobi:function(d){var e=1,f=0,g=d.length,h=a.identity(g,g),i=[],j,k,l,m,n,o,p,q;while(e===1){f++,o=d[0][1],m=0,n=1;for(k=0;k<g;k++)for(l=0;l<g;l++)k!=l&&o<b.abs(d[k][l])&&(o=b.abs(d[k][l]),m=k,n=l);d[m][m]===d[n][n]?p=d[m][n]>0?b.PI/4:-b.PI/4:p=b.atan(2*d[m][n]/(d[m][m]-d[n][n]))/2,q=a.identity(g,g),q[m][m]=b.cos(p),q[m][n]=-b.sin(p),q[n][m]=b.sin(p),q[n][n]=b.cos(p),h=a.multiply(h,q),j=a.multiply(a.multiply(a.inv(q),d),q),d=j,e=0;for(k=1;k<g;k++)for(l=1;l<g;l++)k!=l&&b.abs(d[k][l])>.001&&(e=1)}for(k=0;k<g;k++)i.push(d[k][k]);return[h,i]},rungekutta:function(b,c,d,e,f,g){var h,i,j,k,l;if(g===2)while(e<=d)h=c*b(e,f),i=c*b(e+c,f+h),j=f+(h+i)/2,f=j,e+=c;if(g===4)while(e<=d)h=c*b(e,f),i=c*b(e+c/2,f+h/2),k=c*b(e+c/2,f+i/2),l=c*b(e+c,f+k),j=f+(h+2*i+2*k+l)/6,f=j,e+=c;return f},romberg:function(c,d,e,f){var g=0,h=(e-d)/2,i=[],j=[],k=[],l,m,n,o,p,q;while(g<f/2){p=c(d);for(n=d,o=0;n<=e;n+=h,o++)i[o]=n;l=i.length;for(n=1;n<l-1;n++)p+=(n%2!==0?4:2)*c(i[n]);p=h/3*(p+c(e)),k[g]=p,h/=2,g++}m=k.length,l=1;while(m!==1){for(n=0;n<m-1;n++)j[n]=(b.pow(4,l)*k[n+1]-k[n])/(b.pow(4,l)-1);m=j.length,k=j,j=[],l++}return k},richardson:function(c,d,e,f){function g(a,b){var c=0,d=a.length,e;for(;c<d;c++)a[c]===b&&(e=c);return e}var h=c.length,i=b.abs(e-c[g(c,e)+1]),j=0,k=[],l=[],m,n,o,p,q;while(f>=i)m=g(c,e+f),n=g(c,e),k[j]=(d[m]-2*d[n]+d[2*n-m])/(f*f),f/=2,j++;p=k.length,o=1;while(p!=1){for(q=0;q<p-1;q++)l[q]=(b.pow(4,o)*k[q+1]-k[q])/(b.pow(4,o)-1);p=l.length,k=l,l=[],o++}return k},simpson:function(b,c,d,e){var f=(d-c)/e,g=b(c),h=[],i=c,j=0,k=1,l;for(;i<=d;i+=f,j++)h[j]=i;l=h.length;for(;k<l-1;k++)g+=(k%2!==0?4:2)*b(h[k]);return f/3*(g+b(d))},hermite:function(b,c,d,e){var f=b.length,g=0,h=0,i=[],j=[],k=[],l=[],m;for(;h<f;h++){i[h]=1;for(m=0;m<f;m++)h!=m&&(i[h]*=(e-b[m])/(b[h]-b[m]));j[h]=0;for(m=0;m<f;m++)h!=m&&(j[h]+=1/(b[h]-b[m]));k[h]=(1-2*(e-b[h])*j[h])*i[h]*i[h],l[h]=(e-b[h])*i[h]*i[h],g+=k[h]*c[h]+l[h]*d[h]}return g},lagrange:function(b,c,d){var e=0,f=0,g,h,i=b.length;for(;f<i;f++){h=c[f];for(g=0;g<i;g++)f!=g&&(h*=(d-b[g])/(b[f]-b[g]));e+=h}return e},cubic_spline:function(c,d,e){var f=c.length,g=0,h,i=[],j=[],k=[],l=[],m=[],n=[],o=[];for(;g<f-1;g++)m[g]=c[g+1]-c[g];k[0]=0;for(g=1;g<f-1;g++)k[g]=3/m[g]*(d[g+1]-d[g])-3/m[g-1]*(d[g]-d[g-1]);for(g=1;g<f-1;g++)i[g]=[],j[g]=[],i[g][g-1]=m[g-1],i[g][g]=2*(m[g-1]+m[g]),i[g][g+1]=m[g],j[g][0]=k[g];l=a.multiply(a.inv(i),j);for(h=0;h<f-1;h++)n[h]=(d[h+1]-d[h])/m[h]-m[h]*(l[h+1][0]+2*l[h][0])/3,o[h]=(l[h+1][0]-l[h][0])/(3*m[h]);for(h=0;h<f;h++)if(c[h]>e)break;return h-=1,d[h]+(e-c[h])*n[h]+a.sq(e-c[h])*l[h]+(e-c[h])*a.sq(e-c[h])*o[h]},gauss_quadrature:function(){throw new Error("gauss_quadrature not yet implemented")},PCA:function(c){var d=c.length,e=c[0].length,f=!1,g=0,h,i,j=[],k=[],l=[],m=[],n=[],o=[],p=[],q=[],r=[],s=[];for(g=0;g<d;g++)j[g]=a.sum(c[g])/e;for(g=0;g<e;g++){p[g]=[];for(h=0;h<d;h++)p[g][h]=c[h][g]-j[h]}p=a.transpose(p);for(g=0;g<d;g++){q[g]=[];for(h=0;h<d;h++)q[g][h]=a.dot([p[g]],[p[h]])/(e-1)}l=a.jacobi(q),r=l[0],k=l[1],s=a.transpose(r);for(g=0;g<k.length;g++)for(h=g;h<k.length;h++)k[g]<k[h]&&(i=k[g],k[g]=k[h],k[h]=i,m=s[g],s[g]=s[h]
,s[h]=m);o=a.transpose(p);for(g=0;g<d;g++){n[g]=[];for(h=0;h<o.length;h++)n[g][h]=a.dot([s[g]],[o[h]])}return[c,k,s,n]}}),function(b){for(var c=0;c<b.length;c++)(function(b){a.fn[b]=function(c,d){var e=this;return d?(setTimeout(function(){d.call(e,a.fn[b].call(e,c))},15),this):typeof a[b](this,c)=="number"?a[b](this,c):a(a[b](this,c))}})(b[c])}("add divide multiply subtract dot pow exp log abs norm angle".split(" "))}(this.jStat,Math),function(a,b){var c=[].slice,d=a.utils.isNumber,e=a.utils.isArray;a.extend({zscore:function(){var e=c.call(arguments);return d(e[1])?(e[0]-e[1])/e[2]:(e[0]-a.mean(e[1]))/a.stdev(e[1],e[2])},ztest:function(){var f=c.call(arguments),g;return e(f[1])?(g=a.zscore(f[0],f[1],f[3]),f[2]===1?a.normal.cdf(-b.abs(g),0,1):a.normal.cdf(-b.abs(g),0,1)*2):f.length>2?(g=a.zscore(f[0],f[1],f[2]),f[3]===1?a.normal.cdf(-b.abs(g),0,1):a.normal.cdf(-b.abs(g),0,1)*2):(g=f[0],f[1]===1?a.normal.cdf(-b.abs(g),0,1):a.normal.cdf(-b.abs(g),0,1)*2)}}),a.extend(a.fn,{zscore:function(b,c){return(b-this.mean())/this.stdev(c)},ztest:function(d,e,f){var g=b.abs(this.zscore(d,f));return e===1?a.normal.cdf(-g,0,1):a.normal.cdf(-g,0,1)*2}}),a.extend({tscore:function(){var e=c.call(arguments);return e.length===4?(e[0]-e[1])/(e[2]/b.sqrt(e[3])):(e[0]-a.mean(e[1]))/(a.stdev(e[1],!0)/b.sqrt(e[1].length))},ttest:function(){var f=c.call(arguments),g;return f.length===5?(g=b.abs(a.tscore(f[0],f[1],f[2],f[3])),f[4]===1?a.studentt.cdf(-g,f[3]-1):a.studentt.cdf(-g,f[3]-1)*2):d(f[1])?(g=b.abs(f[0]),f[2]==1?a.studentt.cdf(-g,f[1]-1):a.studentt.cdf(-g,f[1]-1)*2):(g=b.abs(a.tscore(f[0],f[1])),f[2]==1?a.studentt.cdf(-g,f[1].length-1):a.studentt.cdf(-g,f[1].length-1)*2)}}),a.extend(a.fn,{tscore:function(c){return(c-this.mean())/(this.stdev(!0)/b.sqrt(this.cols()))},ttest:function(d,e){return e===1?1-a.studentt.cdf(b.abs(this.tscore(d)),this.cols()-1):a.studentt.cdf(-b.abs(this.tscore(d)),this.cols()-1)*2}}),a.extend({anovafscore:function(){var e=c.call(arguments),f,g,h,i,j,k,l,m;if(e.length===1){j=new Array(e[0].length);for(l=0;l<e[0].length;l++)j[l]=e[0][l];e=j}if(e.length===2)return a.variance(e[0])/a.variance(e[1]);g=new Array;for(l=0;l<e.length;l++)g=g.concat(e[l]);h=a.mean(g),f=0;for(l=0;l<e.length;l++)f+=e[l].length*b.pow(a.mean(e[l])-h,2);f/=e.length-1,k=0;for(l=0;l<e.length;l++){i=a.mean(e[l]);for(m=0;m<e[l].length;m++)k+=b.pow(e[l][m]-i,2)}return k/=g.length-e.length,f/k},anovaftest:function(){var e=c.call(arguments),f,g,h,i;if(d(e[0]))return 1-a.centralF.cdf(e[0],e[1],e[2]);anovafscore=a.anovafscore(e),f=e.length-1,h=0;for(i=0;i<e.length;i++)h+=e[i].length;return g=h-f-1,1-a.centralF.cdf(anovafscore,f,g)},ftest:function(c,d,e){return 1-a.centralF.cdf(c,d,e)}}),a.extend(a.fn,{anovafscore:function(){return a.anovafscore(this.toArray())},anovaftes:function(){var c=0,d;for(d=0;d<this.length;d++)c+=this[d].length;return a.ftest(this.anovafscore(),this.length-1,c-this.length)}}),a.extend({normalci:function(){var e=c.call(arguments),f=new Array(2),g;return e.length===4?g=b.abs(a.normal.inv(e[1]/2,0,1)*e[2]/b.sqrt(e[3])):g=b.abs(a.normal.inv(e[1]/2,0,1)*a.stdev(e[2])/b.sqrt(e[2].length)),f[0]=e[0]-g,f[1]=e[0]+g,f},tci:function(){var e=c.call(arguments),f=new Array(2),g;return e.length===4?g=b.abs(a.studentt.inv(e[1]/2,e[3]-1)*e[2]/b.sqrt(e[3])):g=b.abs(a.studentt.inv(e[1]/2,e[2].length-1)*a.stdev(e[2],!0)/b.sqrt(e[2].length)),f[0]=e[0]-g,f[1]=e[0]+g,f},significant:function(b,c){return b<c}}),a.extend(a.fn,{normalci:function(c,d){return a.normalci(c,d,this.toArray())},tci:function(c,d){return a.tci(c,d,this.toArray())}});function f(a,c,d,e){if(a>1||d>1||a<=0||d<=0)throw new Error("Proportions should be greater than 0 and less than 1");var f=(a*c+d*e)/(c+e),g=b.sqrt(f*(1-f)*(1/c+1/e));return(a-d)/g}a.extend(a.fn,{oneSidedDifferenceOfProportions:function(c,d,e,g){var h=f(c,d,e,g);return a.ztest(h,1)},twoSidedDifferenceOfProportions:function(c,d,e,g){var h=f(c,d,e,g);return a.ztest(h,2)}})}(this.jStat,Math);
{
"name" : "jStat",
"version" : "1.4.1",
"version" : "1.4.2",
"description" : "Statistical Library for JavaScript",

@@ -5,0 +5,0 @@ "homepage" : "http://github.com/jstat/jstat",

@@ -128,3 +128,3 @@ (function(jStat, Math) {

if (x < 0)
return undefined;
return 0;

@@ -216,2 +216,4 @@ if (df1 <= 2) {

pdf: function pdf(x, dof) {
if (x < 0)
return 0;
return (x === 0 && dof === 2) ? 0.5 :

@@ -296,3 +298,6 @@ Math.exp((dof / 2 - 1) * Math.log(x) - x / 2 - (dof / 2) *

pdf: function pdf(x, shape, scale) {
return Math.exp((shape - 1) * Math.log(x) - x / scale -
if (x < 0)
return 0;
return (x === 0 && shape === 1) ? 1 / scale :
Math.exp((shape - 1) * Math.log(x) - x / scale -
jStat.gammaln(shape) - shape * Math.log(scale));

@@ -332,2 +337,4 @@ },

pdf: function pdf(x, shape, scale) {
if (x <= 0)
return 0;
return Math.exp(-(shape + 1) * Math.log(x) - scale / x -

@@ -417,2 +424,4 @@ jStat.gammaln(shape) + shape * Math.log(scale));

pdf: function pdf(x, mu, sigma) {
if (x <= 0)
return 0;
return Math.exp(-Math.log(x) - 0.5 * Math.log(2 * Math.PI) -

@@ -557,3 +566,3 @@ Math.log(sigma) - Math.pow(Math.log(x) - mu, 2) /

if (x < scale)
return undefined;
return 0;
return (shape * Math.pow(scale, shape)) / Math.pow(x, shape + 1);

@@ -560,0 +569,0 @@ },

@@ -40,2 +40,6 @@ var vows = require('vows');

// When x < 0 return 0
// df(-3, 4, 11)
assert.epsilon(tol, jStat.centralF.pdf(-3, 4, 11), 0);
// When x = 0, and df1 = 2, return 1

@@ -42,0 +46,0 @@ // df(0, 2, 15)

@@ -27,2 +27,6 @@ var vows = require('vows');

},
'check pdf calculation at x < 0': function(jStat) {
var tol = 0.0000001;
assert.epsilon(tol, jStat.chisquare.pdf(-10, 8), 0.0);
},
//Checked against R's pchisq(x, df)

@@ -29,0 +33,0 @@ 'check cdf calculation': function(jStat) {

@@ -32,2 +32,16 @@ var vows = require('vows');

// Checked against R's dgamma(x, shape, rate = 1, scale = 1/rate, log = FALSE)
// options(digits=10)
// dgamma(2, 1, scale=1)
// dgamma(5, 10, scale=2)
// dgamma(18, 22, scale=0.8)
// dgamma(-5, 7, scale=10)
'check pdf': function(jStat) {
tol = 0.000001;
assert.epsilon(tol, jStat.gamma.pdf(2, 1, 1), 0.1353352832);
assert.epsilon(tol, jStat.gamma.pdf(5, 10, 2), 0.000431450369);
assert.epsilon(tol, jStat.gamma.pdf(18, 22, 0.8), 0.1029848021);
assert.epsilon(tol, jStat.gamma.pdf(-5, 7, 10), 0);
},
//Checked against R's pgamma(q, shape, rate = 1/scale)

@@ -34,0 +48,0 @@ //That is, jStat.gamma.cdf(5, 10, 2) == pgamma(5, 10, 1/2)

@@ -13,2 +13,17 @@ var vows = require('vows');

// Checked against R's densigamma(x, alpha, beta) from pscl package
// install.packages("pscl")
// library("pscl")
// densigamma(0.5, 1, 1)
// densigamma(0.25, 10, 2)
// densigamma(0.95, 18, 10)
// densigamma(-5, 2, 4) # Note: This incorrectly throws an error!
'check pdf': function(jStat) {
tol = 0.000001;
assert.epsilon(tol, jStat.invgamma.pdf(0.5, 1, 1), 0.5413411329);
assert.epsilon(tol, jStat.invgamma.pdf(0.25, 10, 2), 3.970461353);
assert.epsilon(tol, jStat.invgamma.pdf(0.95, 18, 10), 0.1998306597);
assert.epsilon(tol, jStat.invgamma.pdf(-5, 2, 4), 0);
},
//Checked against R's pigamma(q, shape, scale), which R calls alpha, beta

@@ -15,0 +30,0 @@ //from the pscl package

@@ -8,2 +8,18 @@ var vows = require('vows');

suite.addBatch({
'kumaraswamy pdf': {
'topic': function() {
return jStat;
},
// Checked against R's dkumar(p, shape1, shape2, log=FALSE) in package VGAM
// install.packages("VGAM")
// library("VGAM")
// options(digits=10)
// dkumar(c(-5, 5), 2, 2)
'check pdf calculation': function(jStat) {
var tol = 0.0000001;
// outside support
assert.epsilon(tol, jStat.kumaraswamy.pdf(-5, 2, 2), 0);
assert.epsilon(tol, jStat.kumaraswamy.pdf(5, 2, 2), 0);
}
},
'kumaraswamy inv': {

@@ -13,3 +29,4 @@ 'topic': function() {

},
// Checked against R's qkumar(p, shape1, shape2, lower.tail=TRUE, log.p=FALSE) in package VGAM
// Checked against R's
// qkumar(p, shape1, shape2, lower.tail=TRUE, log.p=FALSE) in package VGAM
// install.packages("VGAM")

@@ -16,0 +33,0 @@ // library("VGAM")

@@ -8,2 +8,16 @@ var vows = require('vows');

suite.addBatch({
'lognormal pdf': {
'topic': function() {
return jStat;
},
// Checked against R's dlnorm(x, meanlog = 0, sdlog = 1, log = FALSE)
// options(digits=10)
// dlnorm(c(-2, 0, 4), 4, 5)
'check pdf calculation': function(jStat) {
var tol = 0.0000001;
assert.epsilon(tol, jStat.lognormal.pdf(-2, 4, 5), 0);
assert.epsilon(tol, jStat.lognormal.pdf(0, 4, 5), 0);
assert.epsilon(tol, jStat.lognormal.pdf(4, 4, 5), 0.01739974114);
}
},
'lognormal cdf': {

@@ -13,6 +27,7 @@ 'topic': function() {

},
// Checked against R's plnorm(q, meanlog = 0, sdlog = 1, lower.tail = TRUE, log.p = FALSE)
// Checked against R's
// plnorm(q, meanlog = 0, sdlog = 1, lower.tail = TRUE, log.p = FALSE)
// options(digits=10)
// plnorm(c(-2, 0, 4), 4, 5)
'check cdf calculation': function(jStat) {
// plnorm(c(-2, 0, 4), 4, 5)
'check cdf calculation': function(jStat) {
var tol = 0.0000001;

@@ -26,2 +41,2 @@ assert.epsilon(tol, jStat.lognormal.cdf(-2, 4, 5), 0);

suite.export(module);
suite.export(module);

@@ -8,2 +8,28 @@ var vows = require('vows');

suite.addBatch({
'pareto pdf': {
'topic': function() {
return jStat;
},
// Checked against R's dpareto(x, df) in package VGAM
// install.packages("VGAM")
// library("VGAM")
// options(digits=10)
// dpareto(c(0, 1, 2), 1, 1)
// dpareto(c(-1, 1, 4), 1, 2)
// dpareto(c(1, 2, 10), 2, 2)
'check pdf calculation': function(jStat) {
var tol = 0.0000001;
assert.epsilon(tol, jStat.pareto.pdf(0, 1, 1), 0);
assert.epsilon(tol, jStat.pareto.pdf(1, 1, 1), 1);
assert.epsilon(tol, jStat.pareto.pdf(2, 1, 1), 0.25);
assert.epsilon(tol, jStat.pareto.pdf(-1, 1, 2), 0);
assert.epsilon(tol, jStat.pareto.pdf(1, 1, 2), 2);
assert.epsilon(tol, jStat.pareto.pdf(4, 1, 2), 0.03125);
assert.epsilon(tol, jStat.pareto.pdf(1, 2, 2), 0);
assert.epsilon(tol, jStat.pareto.pdf(2, 2, 2), 1);
assert.epsilon(tol, jStat.pareto.pdf(10, 2, 2), 0.008);
}
},
'pareto inv': {

@@ -55,3 +81,3 @@ 'topic': function() {

assert.epsilon(tol, jStat.pareto.cdf(4, 1, 2), 0.9375);
assert.epsilon(tol, jStat.pareto.cdf(1, 2, 2), 0);

@@ -58,0 +84,0 @@ assert.epsilon(tol, jStat.pareto.cdf(2, 2, 2), 0);

@@ -80,3 +80,3 @@ var vows = require('vows');

// ptriang(30, 23, 50, 47)
// ptriang(-10, -10, -10, -10) # NOTE: This returns: [1] 1, but we don't allow a = b = c!
// ptriang(-10, -10, -10, -10) # NOTE: This returns: [1] 1, but we don't allow a = b = c!
'check cdf calculation, when a < c < b': function(jStat) {

@@ -83,0 +83,0 @@ var tol = 0.0000001;

Sorry, the diff of this file is too big to display

SocketSocket SOC 2 Logo

Product

  • Package Alerts
  • Integrations
  • Docs
  • Pricing
  • FAQ
  • Roadmap
  • Changelog

Packages

npm

Stay in touch

Get open source security insights delivered straight into your inbox.


  • Terms
  • Privacy
  • Security

Made with ⚡️ by Socket Inc