Ecosyste.ms: Awesome

An open API service indexing awesome lists of open source software.

Awesome Lists | Featured Topics | Projects

https://github.com/stdlib-js/stats-base-dists-laplace-variance

Laplace distribution variance.
https://github.com/stdlib-js/stats-base-dists-laplace-variance

continuous dispersion dist distribution double-exponential exponential-family javascript laplace location-scale node node-js nodejs spread statistics stats stdlib univariate variance

Last synced: about 9 hours ago
JSON representation

Laplace distribution variance.

Awesome Lists containing this project

README 

        



  

    About stdlib...

  

  
We believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.


  
The library is fully decomposable, being architected in such a way that you can swap out and mix and match APIs and functionality to cater to your exact preferences and use cases.


  
When you use stdlib, you can be absolutely certain that you are using the most thorough, rigorous, well-written, studied, documented, tested, measured, and high-quality code out there.


  
To join us in bringing numerical computing to the web, get started by checking us out on GitHub, and please consider financially supporting stdlib. We greatly appreciate your continued support!



# Variance



[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url] 



> [Laplace][laplace-distribution] distribution [variance][variance].



The [variance][variance] for a [Laplace][laplace-distribution] random variable with location parameter `mu` and scale parameter `b > 0` is



```math

\mathop{\mathrm{Var}}\left( X \right) = 2 b^2

```



## Installation



```bash

npm install @stdlib/stats-base-dists-laplace-variance

```



Alternatively,



-   To load the package in a website via a `script` tag without installation and bundlers, use the [ES Module][es-module] available on the [`esm`][esm-url] branch (see [README][esm-readme]).

-   If you are using Deno, visit the [`deno`][deno-url] branch (see [README][deno-readme] for usage intructions).

-   For use in Observable, or in browser/node environments, use the [Universal Module Definition (UMD)][umd] build available on the [`umd`][umd-url] branch (see [README][umd-readme]).



The [branches.md][branches-url] 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



```javascript

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

```



#### variance( mu, b )



Returns the [variance][variance] for a [Laplace][laplace-distribution] distribution with location parameter `mu` and scale parameter `b`.



```javascript

var y = variance( 2.0, 1.0 );

// returns 2.0



y = variance( 0.0, 1.0 );

// returns 2.0



y = variance( -1.0, 4.0 );

// returns 32.0

```



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



```javascript

var y = variance( NaN, 1.0 );

// returns NaN



y = variance( 0.0, NaN );

// returns NaN

```



If provided `b <= 0`, the function returns `NaN`.



```javascript

var y = variance( 0.0, 0.0 );

// returns NaN



y = variance( 0.0, -1.0 );

// returns NaN

```



## Examples



```javascript

var randu = require( '@stdlib/random-base-randu' );

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



var mu;

var b;

var y;

var i;



for ( i = 0; i < 10; i++ ) {

    mu = ( randu()*10.0 ) - 5.0;

    b = randu() * 20.0;

    y = variance( mu, b );

    console.log( 'µ: %d, b: %d, Var(X;µ,b): %d', mu.toFixed( 4 ), b.toFixed( 4 ), y.toFixed( 4 ) );

}

```



* * *



## C APIs



### Usage



```c

#include "stdlib/stats/base/dists/laplace/variance.h"

```



#### stdlib_base_dists_laplace_variance( mu, b )



Returns the variance for a Laplace distribution with location `mu` and scale `b`.



```c

double out = stdlib_base_dists_laplace_variance( 0.0, 1.0 );

// returns 2.0

```



The function accepts the following arguments:



-   **mu**: `[in] double` location parameter.

-   **b**: `[in] double` scale parameter.



```c

double stdlib_base_dists_laplace_variance( const double mu, const double b );

```



### Examples



```c

#include "stdlib/stats/base/dists/laplace/variance.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 mu;

    double b;

    double y;

    int i;



    for ( i = 0; i < 25; i++ ) {

        mu = random_uniform( -5.0, 5.0 );

        b = random_uniform( 0.0, 20.0 );

        y = stdlib_base_dists_laplace_variance( mu, b );

        printf( "µ: %lf, b: %lf, Var(X;µ,b): %lf\n", mu, b, 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 © 2016-2025. The Stdlib [Authors][stdlib-authors].



[npm-image]: http://img.shields.io/npm/v/@stdlib/stats-base-dists-laplace-variance.svg

[npm-url]: https://npmjs.org/package/@stdlib/stats-base-dists-laplace-variance



[test-image]: https://github.com/stdlib-js/stats-base-dists-laplace-variance/actions/workflows/test.yml/badge.svg?branch=main

[test-url]: https://github.com/stdlib-js/stats-base-dists-laplace-variance/actions/workflows/test.yml?query=branch:main



[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/stats-base-dists-laplace-variance/main.svg

[coverage-url]: https://codecov.io/github/stdlib-js/stats-base-dists-laplace-variance?branch=main



[chat-image]: https://img.shields.io/gitter/room/stdlib-js/stdlib.svg

[chat-url]: https://app.gitter.im/#/room/#stdlib-js_stdlib:gitter.im



[stdlib]: https://github.com/stdlib-js/stdlib



[stdlib-authors]: https://github.com/stdlib-js/stdlib/graphs/contributors



[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-laplace-variance/tree/deno

[deno-readme]: https://github.com/stdlib-js/stats-base-dists-laplace-variance/blob/deno/README.md

[umd-url]: https://github.com/stdlib-js/stats-base-dists-laplace-variance/tree/umd

[umd-readme]: https://github.com/stdlib-js/stats-base-dists-laplace-variance/blob/umd/README.md

[esm-url]: https://github.com/stdlib-js/stats-base-dists-laplace-variance/tree/esm

[esm-readme]: https://github.com/stdlib-js/stats-base-dists-laplace-variance/blob/esm/README.md

[branches-url]: https://github.com/stdlib-js/stats-base-dists-laplace-variance/blob/main/branches.md



[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-base-dists-laplace-variance/main/LICENSE



[laplace-distribution]: https://en.wikipedia.org/wiki/Laplace_distribution



[variance]: https://en.wikipedia.org/wiki/Variance