@stdlib/math-base-special-betaincinv
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Inverse of the incomplete beta function.
npm install @stdlib/math-base-special-betaincinv
var betaincinv = require( '@stdlib/math-base-special-betaincinv' );
Inverts the regularized incomplete beta function. Contrary to the more commonly used definition, in this implementation the first parameter is the probability p and the second and third parameter are a and b. By default, the function inverts the lower regularized incomplete beta function. To invert the upper function instead, set the upper argument to true.
var y = betaincinv( 0.2, 3.0, 3.0 );
// returns ~0.327
y = betaincinv( 0.4, 3.0, 3.0 );
// returns ~0.446
y = betaincinv( 0.4, 3.0, 3.0, true );
// returns ~0.554
y = betaincinv( 0.4, 1.0, 6.0 );
// returns ~0.082
y = betaincinv( 0.8, 1.0, 6.0 );
// returns ~0.235
If provided NaN as any argument, the function returns NaN.
var y = betaincinv( NaN, 1.0, 1.0 );
// returns NaN
y = betaincinv( 0.5, NaN, 1.0 );
// returns NaN
y = betaincinv( 0.5, 1.0, NaN );
// returns NaN
If provided a value outside [0,1] for p, the function returns NaN.
var y = betaincinv( 1.2, 1.0, 1.0 );
// returns NaN
y = betaincinv( -0.5, 1.0, 1.0 );
// returns NaN
If provided a nonpositive a, the function returns NaN.
var y = betaincinv( 0.5, -2.0, 2.0 );
// returns NaN
y = betaincinv( 0.5, 0.0, 2.0 );
// returns NaN
If provided a nonpositive b, the function returns NaN.
var y = betaincinv( 0.5, 2.0, -2.0 );
// returns NaN
y = betaincinv( 0.5, 2.0, 0.0 );
// returns NaN
var randu = require( '@stdlib/random-base-randu' );
var betaincinv = require( '@stdlib/math-base-special-betaincinv' );
var i;
var p;
var a;
var b;
for ( i = 0; i < 100; i++ ) {
p = randu();
a = randu() * 10.0;
b = randu() * 10.0;
console.log( 'p: %d, \t a: %d, \t b: %d, \t f(p,a,b): %d', p.toFixed( 4 ), a.toFixed( 4 ), b.toFixed( 4 ), betaincinv( p, a, b ) );
}
@stdlib/math-base/special/beta: beta function.@stdlib/math-base/special/betainc: incomplete beta function.@stdlib/math-base/special/betaln: natural logarithm of the beta function.This package is part of stdlib, a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.
For more information on the project, filing bug reports and feature requests, and guidance on how to develop stdlib, see the main project repository.
See LICENSE.
Copyright © 2016-2023. The Stdlib Authors.
0.1.0 (2023-09-24)
<section class="features">58832ee - update minimum TypeScript version58832ee: update minimum TypeScript version to 4.1
58832ee - feat: update minimum TypeScript version (by Philipp Burckhardt)b734544 - refactor: use strictEqual checks (by Philipp Burckhardt)A total of 1 person contributed to this release. Thank you to this contributor:
FAQs
Inverse incomplete beta function.
The npm package @stdlib/math-base-special-betaincinv receives a total of 3,967 weekly downloads. As such, @stdlib/math-base-special-betaincinv popularity was classified as popular.
We found that @stdlib/math-base-special-betaincinv demonstrated a healthy version release cadence and project activity because the last version was released less than a year ago. It has 0 open source maintainers collaborating on the project.
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