Median

Arcsine distribution median.

The median for an arcsine random variable is

where a is the minimum support and b is the maximum support.

Installation

npm install @stdlib/stats-base-dists-arcsine-median

Usage

var median = require( '@stdlib/stats-base-dists-arcsine-median' );

median( a, b )

Returns the median of an arcsine distribution with parameters a (minimum support) and b (maximum support).

var v = median( 0.0, 1.0 );
// returns 0.5

v = median( 4.0, 12.0 );
// returns 8.0

v = median( 2.0, 8.0 );
// returns 5.0

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

var v = median( NaN, 2.0 );
// returns NaN

v = median( 2.0, NaN );
// returns NaN

If provided a >= b, the function returns NaN.

var y = median( 3.0, 2.0 );
// returns NaN

y = median( 3.0, 3.0 );
// returns NaN

Examples

var uniform = require( '@stdlib/random-array-uniform' );
var logEachMap = require( '@stdlib/console-log-each-map' );
var median = require( '@stdlib/stats-base-dists-arcsine-median' );

var opts = {
    'dtype': 'float64'
};
var a = uniform( 25, 0.0, 10.0, opts );
var b = uniform( a.length, 10.0, 20.0, opts );

logEachMap( 'a: %0.4f, b: %0.4f, Median(X;a,b): %0.4f', a, b, median );

C APIs

Usage

#include "stdlib/stats/base/dists/arcsine/median.h"

stdlib_base_dists_arcsine_median( a, b )

Returns the median of an arcsine distribution.

double out = stdlib_base_dists_arcsine_median( 0.0, 1.0 );
// returns 0.5

The function accepts the following arguments:

• a: [in] double minimum support.
• b: [in] double maximum support.

double stdlib_base_dists_arcsine_median( const double a, const double b );

Examples

#include "stdlib/stats/base/dists/arcsine/median.h"
#include <stdlib.h>
#include <stdio.h>

static double random_uniform( const double min, const double max ) {
    double v = (double)rand() / ( (double)RAND_MAX + 1.0 );
    return min + ( v*(max-min) );
}

int main( void ) {
    double a;
    double b;
    double y;
    int i;

    for ( i = 0; i < 10; i++ ) {
        a = random_uniform( 0.0, 10.0 );
        b = random_uniform( a, a+10.0 );
        y = stdlib_base_dists_arcsine_median( a, b );
        printf( "a: %lf, b: %lf, Median(X;a,b): %lf\n", a, b, 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.