README.md

About stdlib...

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Median

Triangular distribution median.

The median for a triangular random variable is

$$\mathop{\mathrm{Median}}\left( X \right) = \begin{cases}a+{\sqrt {\frac {(b-a)(c-a)}{2}}}&{\text{ for }}c\geq {\frac {a+b}{2}}\\[6pt]b-{\sqrt {\frac {(b-a)(b-c)}{2}}}&{\text{ for }}c\leq {\frac{a+b}{2}}\end{cases}$$

where a is the lower limit, b is the upper limit and c is the mode.

Usage

import median from 'https://cdn.jsdelivr.net/gh/stdlib-js/stats-base-dists-triangular-median@deno/mod.js';

median( a, b, c )

Returns the median of a triangular distribution with parameters a (minimum support), b (maximum support), and c (mode).

var v = median( 0.0, 1.0, 0.8 );
// returns ~0.632

v = median( 4.0, 12.0, 5.0 );
// returns ~6.708

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

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

var v = median( NaN, 4.0, 2.0 );
// returns NaN

v = median( 0.0, NaN, 2.0 );
// returns NaN

v = median( 0.0, 4.0, NaN );
// returns NaN

If provided parameters not satisfying a <= c <= b, the function returns NaN.

var y = median( 1.0, 0.0, 1.5 );
// returns NaN

y = median( 0.0, 1.0, -1.0 );
// returns NaN

y = median( 0.0, -1.0, 0.5 );
// returns NaN

Examples

import randu from 'https://cdn.jsdelivr.net/gh/stdlib-js/random-base-randu@deno/mod.js';
import median from 'https://cdn.jsdelivr.net/gh/stdlib-js/stats-base-dists-triangular-median@deno/mod.js';

var a;
var b;
var c;
var v;
var i;

for ( i = 0; i < 10; i++ ) {
    a = ( randu()*10.0 );
    b = ( randu()*10.0 ) + a;
    c = ( randu()*( b-a ) ) + a;
    v = median( a, b, c );
    console.log( 'a: %d, b: %d, c: %d, Median(X;a,b,c): %d', a.toFixed( 4 ), b.toFixed( 4 ), c.toFixed( 4 ), v.toFixed( 4 ) );
}

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Notice

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.

Community

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License

See LICENSE.

Copyright

Copyright © 2016-2024. The Stdlib Authors.