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Binomial distribution quantile function.
The quantile function for a binomial random variable returns, for any r satisfying 0 <= r <= 1, the value x for which the relation
holds, where F is the cumulative distribution function (CDF) of a binomial random variable, n is the number of trials, and 0 <= p <= 1 is the success probability.
import quantile from 'https://cdn.jsdelivr.net/gh/stdlib-js/stats-base-dists-binomial-quantile@esm/index.mjs';You can also import the following named exports from the package:
import { factory } from 'https://cdn.jsdelivr.net/gh/stdlib-js/stats-base-dists-binomial-quantile@esm/index.mjs';Evaluates the quantile function for a binomial distribution with number of trials n and success probability p at value r.
var y = quantile( 0.4, 20, 0.2 );
// returns 3
y = quantile( 0.8, 20, 0.2 );
// returns 5
y = quantile( 0.5, 10, 0.4 );
// returns 4
y = quantile( 0.0, 10, 0.4 );
// returns 0
y = quantile( 1.0, 10, 0.4 );
// returns 10If provided NaN as any argument, the function returns NaN.
var y = quantile( NaN, 20, 0.5 );
// returns NaN
y = quantile( 0.2, NaN, 0.5 );
// returns NaN
y = quantile( 0.2, 20, NaN );
// returns NaNIf provided a number of trials n which is not a nonnegative integer, the function returns NaN.
var y = quantile( 0.5, 1.5, 0.5 );
// returns NaN
y = quantile( 0.5, -2.0, 0.5 );
// returns NaNIf provided a success probability p outside of [0,1], the function returns NaN.
var y = quantile( 0.5, 20, -1.0 );
// returns NaN
y = quantile( 0.5, 20, 1.5 );
// returns NaNReturns a function for evaluating the quantile function of a binomial distribution with number of trials n and success probability p.
var myquantile = quantile.factory( 10, 0.5 );
var y = myquantile( 0.1 );
// returns 3
y = myquantile( 0.9 );
// returns 7<!DOCTYPE html>
<html lang="en">
<body>
<script type="module">
import randu from 'https://cdn.jsdelivr.net/gh/stdlib-js/random-base-randu@esm/index.mjs';
import round from 'https://cdn.jsdelivr.net/gh/stdlib-js/math-base-special-round@esm/index.mjs';
import quantile from 'https://cdn.jsdelivr.net/gh/stdlib-js/stats-base-dists-binomial-quantile@esm/index.mjs';
var r;
var i;
var n;
var p;
var y;
for ( i = 0; i < 10; i++ ) {
r = randu();
n = round( randu() * 100.0 );
p = randu();
y = quantile( r, n, p );
console.log( 'r: %d, n: %d, p: %d, Q(r;n,p): %d', r.toFixed( 4 ), n, p.toFixed( 4 ) );
}
</script>
</body>
</html>This package is part of stdlib, a standard library 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.
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