Mode

Hypergeometric distribution mode.

Imagine a scenario with a population of size N, of which a subpopulation of size K can be considered successes. We draw n observations from the total population. Defining the random variable X as the number of successes in the n draws, X is said to follow a hypergeometric distribution. The mode for a hypergeometric random variable is

Installation

npm install @stdlib/stats-base-dists-hypergeometric-mode

Usage

var mode = require( '@stdlib/stats-base-dists-hypergeometric-mode' );

mode( N, K, n )

Returns the mode of a hypergeometric distribution with parameters N (population size), K (subpopulation size), and n (number of draws).

var v = mode( 16, 11, 4 );
// returns 3

v = mode( 2, 1, 1 );
// returns 1

If provided NaN as any argument, the function returns NaN.

var v = mode( NaN, 10, 4 );
// returns NaN

v = mode( 20, NaN, 4 );
// returns NaN

v = mode( 20, 10, NaN );
// returns NaN

If provided a population size N, subpopulation size K, or draws n which is not a nonnegative integer, the function returns NaN.

var v = mode( 10.5, 5, 2 );
// returns NaN

v = mode( 10, 1.5, 2 );
// returns NaN

v = mode( 10, 5, -2.0 );
// returns NaN

If the number of draws n or the subpopulation size K exceed population size N, the function returns NaN.

var v = mode( 10, 5, 12 );
// returns NaN

v = mode( 10, 12, 5 );
// returns NaN

Examples

var randu = require( '@stdlib/random-base-randu' );
var round = require( '@stdlib/math-base-special-round' );
var mode = require( '@stdlib/stats-base-dists-hypergeometric-mode' );

var v;
var i;
var N;
var K;
var n;

for ( i = 0; i < 10; i++ ) {
    N = round( randu() * 20 );
    K = round( randu() * N );
    n = round( randu() * K );
    v = mode( N, K, n );
    console.log( 'N: %d, K: %d, n: %d, mode(X;N,K,n): %d', N, K, n, v.toFixed( 4 ) );
}

C APIs

Usage

#include "stdlib/stats/base/dists/hypergeometric/mode.h"

stdlib_base_dists_hypergeometric_mode( N, K, n )

Returns the mode of a hypergeometric distribution.

double out = stdlib_base_dists_hypergeometric_mode( 16, 11, 4 );
// returns 3.0

The function accepts the following arguments:

• N: [in] int32_t population size.
• K: [in] int32_t subpopulation size.
• n: [in] int32_t number of draws.

double stdlib_base_dists_hypergeometric_mode( const int32_t N, const int32_t K, const int32_t n );

Examples

#include "stdlib/stats/base/dists/hypergeometric/mode.h"
#include <stdlib.h>
#include <stdio.h>
#include <stdint.h>

static int32_t random_int( const int32_t min, const int32_t max ) {
    int32_t v = rand() % ( max - min + 1 );
    return min + v;
}

int main( void ) {
    int32_t N;
    int32_t K;
    int32_t n;
    double y;
    int i;

    for ( i = 0; i < 10; i++ ) {
        N = random_int( 1, 20 );
        K = random_int( 0, N );
        n = random_int( 0, K );
        y = stdlib_base_dists_hypergeometric_mode( N, K, n );
        printf( "N: %d, K: %d, n: %d, mode(X;N,K,n): %.4f\n", N, K, n, y );
    }
}

Notice

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.

Community

License

See LICENSE.

Copyright

Copyright © 2016-2026. The Stdlib Authors.