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Cauchy

Cauchy distribution.

Installation

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

Alternatively,

• To load the package in a website via a script tag without installation and bundlers, use the ES Module available on the esm branch (see README).
• If you are using Deno, visit the deno branch (see README for usage intructions).
• For use in Observable, or in browser/node environments, use the Universal Module Definition (UMD) build available on the umd branch (see README).

The branches.md file summarizes the available branches and displays a diagram illustrating their relationships.

To view installation and usage instructions specific to each branch build, be sure to explicitly navigate to the respective README files on each branch, as linked to above.

Usage

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

cauchy

Cauchy distribution.

var dist = cauchy;
// returns {...}

The namespace contains the following distribution functions:

• cdf( x, x0, gamma ): Cauchy distribution cumulative distribution function.
• logcdf( x, x0, gamma ): Cauchy distribution logarithm of cumulative distribution function.
• logpdf( x, x0, gamma ): Cauchy distribution logarithm of probability density function (logPDF).
• pdf( x, x0, gamma ): Cauchy distribution probability density function (PDF).
• quantile( p, x0, gamma ): Cauchy distribution quantile function.

The namespace contains the following functions for calculating distribution properties:

• entropy( x0, gamma ): Cauchy distribution differential entropy.
• median( x0, gamma ): Cauchy distribution median.
• mode( x0, gamma ): Cauchy distribution mode.

The namespace contains a constructor function for creating a Cauchy distribution object.

• Cauchy( [x0, gamma] ): Cauchy distribution constructor.

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

var dist = new Cauchy( 2.0, 4.0 );

var median = dist.median;
// returns 2.0

Examples

var objectKeys = require( '@stdlib/utils-keys' );
var cauchy = require( '@stdlib/stats-base-dists-cauchy' );

console.log( objectKeys( cauchy ) );

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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

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License

See LICENSE.

Copyright

Copyright © 2016-2024. The Stdlib Authors.