Continuous Uniform

Continuous uniform distribution.

Usage

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

uniform

Continuous uniform distribution.

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

The namespace contains the following distribution functions:

cdf( x, a, b ): uniform distribution cumulative distribution function.
logcdf( x, a, b ): uniform distribution logarithm of cumulative distribution function.
logpdf( x, a, b ): uniform distribution logarithm of probability density function (PDF).
mgf( t, a, b ): uniform distribution moment-generating function (MGF).
pdf( x, a, b ): uniform distribution probability density function (PDF).
quantile( p, a, b ): uniform distribution quantile function.

The namespace contains the following functions for calculating distribution properties:

entropy( a, b ): uniform distribution differential entropy.
kurtosis( a, b ): uniform distribution excess kurtosis.
mean( a, b ): uniform distribution expected value.
median( a, b ): uniform distribution median.
skewness( a, b ): uniform distribution skewness.
stdev( a, b ): uniform distribution standard deviation.
variance( a, b ): uniform distribution variance.

The namespace contains a constructor function for creating a continuous uniform distribution object.

Uniform( [a, b] ): uniform distribution constructor.

var Uniform = require( '@stdlib/stats/base/dists/uniform' ).Uniform;

var dist = new Uniform( 2.0, 4.0 );

var y = dist.cdf( 2.5 );
// returns 0.25

Examples

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

/*
Let's consider an example where we are modeling the arrival times of guests
at a reception event that runs from 6:00 PM to 8:00 PM, where each arrival
within this 2-hour window is equally likely. We can model this scenario using a
continuous  uniform distribution with a minimum value of 0 (6:00 PM) and
a maximum value of 120 (8:00 PM).
*/

var min = 0.0; // 6:00 PM is 0 minutes after 6:00 PM.
var max = 120.0; // 8:00 PM is 120 minutes after 6:00 PM.

var mean = uniform.mean( min, max );
// returns 60.0

var variance = uniform.variance( min, max );
// returns 1200.0

var stdDev = uniform.stdev( min, max );
// returns ~34.641

var entropy = uniform.entropy( min, max );
// returns ~4.787

// Probability of arrival within 30 minutes after 6:00 PM:
var p = uniform.cdf( 30, min, max );
// returns 0.25

// Evaluate the PDF at 30 minutes after 6:00 PM:
var pdf = uniform.pdf( 30, min, max );
// returns ~0.0083