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The median for a binomial random variable is
where n
is the number of trials, p
is the success probability, and [x]
is the nearest integer function.
npm install @stdlib/stats-base-dists-binomial-median
var median = require( '@stdlib/stats-base-dists-binomial-median' );
Returns the median of a binomial distribution with number of trials n
and success probability p
.
var v = median( 20, 0.1 );
// returns 2
v = median( 50, 0.5 );
// returns 25
If provided NaN
as any argument, the function returns NaN
.
var v = median( NaN, 0.5 );
// returns NaN
v = median( 20, NaN );
// returns NaN
If provided a number of trials n
which is not a nonnegative integer, the function returns NaN
.
var v = median( 1.5, 0.5 );
// returns NaN
v = median( -2.0, 0.5 );
// returns NaN
If provided a success probability p
outside of [0,1]
, the function returns NaN
.
var v = median( 20, -1.0 );
// returns NaN
v = median( 20, 1.5 );
// returns NaN
var randu = require( '@stdlib/random-base-randu' );
var round = require( '@stdlib/math-base-special-round' );
var median = require( '@stdlib/stats-base-dists-binomial-median' );
var v;
var i;
var n;
var p;
for ( i = 0; i < 10; i++ ) {
n = round( randu() * 100.0 );
p = randu();
v = median( n, p );
console.log( 'n: %d, p: %d, Median(X;n,p): %d', n, p.toFixed( 4 ), v.toFixed( 4 ) );
}
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.
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