Median

Cauchy distribution median.

The median for a Cauchy random variable with location parameter x0 and scale parameter Ɣ > 0 is

Installation

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

Usage

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

median( x0, gamma )

Returns the median of a Cauchy distribution with location parameter x0 and scale parameter gamma.

var v = median( 10.0, 5.0 );
// returns 10.0

v = median( 7.0, 2.0 );
// returns 7.0

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

var v = median( NaN, 5.0 );
// returns NaN

v = median( 20.0, NaN );
// returns NaN

If provided gamma <= 0, the function returns NaN.

var v = median( 1.0, -1.0 );
// returns NaN

v = median( 1.0, 0.0 );
// returns NaN

Examples

var randu = require( '@stdlib/random-base-randu' );
var EPS = require( '@stdlib/constants-float64-eps' );
var median = require( '@stdlib/stats-base-dists-cauchy-median' );

var gamma;
var x0;
var v;
var i;

for ( i = 0; i < 10; i++ ) {
    x0 = randu() * 100.0;
    gamma = ( randu()*10.0 ) + EPS;
    v = median( x0, gamma );
    console.log( 'x0: %d, γ: %d, Median(X;x0,γ): %d', x0.toFixed( 4 ), gamma.toFixed( 4 ), v.toFixed( 4 ) );
}

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 © 2016-2024. The Stdlib Authors.