@stdlib/stats-base-dists-cauchy-median
v0.3.1TypeScript
Cauchy distribution median.
0/weekUpdated 4 days agoApache-2.0Unpacked: 41.5 KB
Published by The Stdlib Authors
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About stdlib...
Median
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> [Cauchy][cauchy-distribution] distribution [median][median].
The [median][median] for a [Cauchy][cauchy-distribution] random variable with location parameter x0 and scale parameter Ɣ > 0 is
Installation
``bash`
npm install @stdlib/stats-base-dists-cauchy-median
Usage
`javascript`
var median = require( '@stdlib/stats-base-dists-cauchy-median' );
#### median( x0, gamma )
Returns the [median][median] of a [Cauchy][cauchy-distribution] distribution with location parameter x0 and scale parameter gamma.
`javascript
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.
`javascript
var v = median( NaN, 5.0 );
// returns NaN
v = median( 20.0, NaN );
// returns NaN
`
If provided gamma <= 0, the function returns NaN.
`javascript
var v = median( 1.0, -1.0 );
// returns NaN
v = median( 1.0, 0.0 );
// returns NaN
`
Examples
`javascript
var uniform = require( '@stdlib/random-array-uniform' );
var logEachMap = require( '@stdlib/console-log-each-map' );
var EPS = require( '@stdlib/constants-float64-eps' );
var median = require( '@stdlib/stats-base-dists-cauchy-median' );
var opts = {
'dtype': 'float64'
};
var gamma = uniform( 10, EPS, 10.0, opts );
var x0 = uniform( 10, 0.0, 100.0, opts );
logEachMap( 'x0: %0.4f, γ: %0.4f, Median(X;x0,γ): %0.4f', x0, gamma, median );
`
*
C APIs
$3
`c`
#include "stdlib/stats/base/dists/cauchy/median.h"
#### stdlib_base_dists_cauchy_median( x0, gamma )
Evaluates the [median][median] of a [Cauchy][cauchy-distribution] distribution with location parameter x0 and scale parameter gamma.
`c`
double out = stdlib_base_dists_cauchy_median( 10.0, 5.0 );
// returns 10.0
The function accepts the following arguments:
- x0: [in] double location parameter.[in] double
- gamma: scale parameter.
`c`
double stdlib_base_dists_cauchy_median( const double x0, const double gamma );
$3
`c
#include "stdlib/stats/base/dists/cauchy/median.h"
#include "stdlib/constants/float64/eps.h"
#include
#include
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 gamma;
double x0;
double y;
int i;
for ( i = 0; i < 25; i++ ) {
x0 = random_uniform( 0.0, 100.0 );
gamma = random_uniform( STDLIB_CONSTANT_FLOAT64_EPS, 10.0 );
y = stdlib_base_dists_cauchy_median( x0, gamma );
printf( "x0: %lf, γ: %lf, Median(x0;γ): %lf\n", x0, gamma, y );
}
}
`
*
Notice
This package is part of [stdlib][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][stdlib], see the main project [repository][stdlib].
#### Community
[![Chat][chat-image]][chat-url]
---
License
See [LICENSE][stdlib-license].
Copyright
Copyright © 2016-2026. The Stdlib [Authors][stdlib-authors].
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[test-url]: https://github.com/stdlib-js/stats-base-dists-cauchy-median/actions/workflows/test.yml?query=branch:v0.3.1
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[coverage-url]: https://codecov.io/github/stdlib-js/stats-base-dists-cauchy-median?branch=main
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[stdlib]: https://github.com/stdlib-js/stdlib
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[umd]: https://github.com/umdjs/umd
[es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules
[deno-url]: https://github.com/stdlib-js/stats-base-dists-cauchy-median/tree/deno
[deno-readme]: https://github.com/stdlib-js/stats-base-dists-cauchy-median/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/stats-base-dists-cauchy-median/tree/umd
[umd-readme]: https://github.com/stdlib-js/stats-base-dists-cauchy-median/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/stats-base-dists-cauchy-median/tree/esm
[esm-readme]: https://github.com/stdlib-js/stats-base-dists-cauchy-median/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/stats-base-dists-cauchy-median/blob/main/branches.md
[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-base-dists-cauchy-median/main/LICENSE
[cauchy-distribution]: https://en.wikipedia.org/wiki/Cauchy_distribution
[median]: https://en.wikipedia.org/wiki/Median