# @stdlib/stats-base-dists-bernoulli-cdf

0.2.1 • Public • Published

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# Cumulative Distribution Function

Bernoulli distribution cumulative distribution function.

The cumulative distribution function for a Bernoulli random variable is

where 0 <= p <= 1 is the success probability.

## Installation

npm install @stdlib/stats-base-dists-bernoulli-cdf

## Usage

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

#### cdf( x, p )

Evaluates the cumulative distribution function for a Bernoulli distribution with success probability p.

var y = cdf( 1.0, 0.5 );
// returns 1.0

y = cdf( 0.5, 0.5 );
// returns 0.5

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

var y = cdf( NaN, 0.5 );
// returns NaN

y = cdf( 0.0, NaN );
// returns NaN

If provided a success probability p outside of [0,1], the function returns NaN.

var y = cdf( 0.9, -1.0 );
// returns NaN

y = cdf( 0.9, 1.5 );
// returns NaN

#### cdf.factory( p )

Returns a function for evaluating the cumulative distribution function of a Bernoulli distribution with success probability p

var mycdf = cdf.factory( 0.5 );
var y = mycdf( 0.5 );
// returns 0.5

y = mycdf( 2.0 );
// returns 1.0

## Examples

var randu = require( '@stdlib/random-base-randu' );
var cdf = require( '@stdlib/stats-base-dists-bernoulli-cdf' );

var p;
var x;
var y;
var i;

for ( i = 0; i < 10; i++ ) {
x = randu() * 5.0;
p = randu();
y = cdf( x, p );
console.log( 'x: %d, p: %d, F(x;p): %d', x.toFixed( 4 ), p.toFixed( 4 ), y.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.

## Package Sidebar

### Install

npm i @stdlib/stats-base-dists-bernoulli-cdf

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