Uniform
Uniform distribution constructor.
Usage
var Uniform = require( '@stdlib/stats/base/dists/uniform/ctor' );
Uniform( [a, b] )
Returns an uniform distribution object.
var uniform = new Uniform();
var mu = uniform.mean;
// returns 0.5
By default, a = 0.0
and b = 1.0
. To create a distribution having a different a
(minimum support) and b
(maximum support), provide the corresponding arguments.
var uniform = new Uniform( 2.0, 4.0 );
var mu = uniform.mean;
// returns 3.0
uniform
An uniform distribution object has the following properties and methods...
Writable Properties
uniform.a
Minimum support of the distribution. a
must be a number smaller than b
.
var uniform = new Uniform();
var a = uniform.a;
// returns 0.0
uniform.a = 0.5;
a = uniform.a;
// returns 0.5
uniform.b
Maximum support of the distribution. b
must be a number larger than a
.
var uniform = new Uniform( 2.0, 4.0 );
var b = uniform.b;
// returns 4.0
uniform.b = 3.0;
b = uniform.b;
// returns 3.0
Computed Properties
Uniform.prototype.entropy
Returns the differential entropy.
var uniform = new Uniform( 4.0, 12.0 );
var entropy = uniform.entropy;
// returns ~2.079
Uniform.prototype.kurtosis
Returns the excess kurtosis.
var uniform = new Uniform( 4.0, 12.0 );
var kurtosis = uniform.kurtosis;
// returns -1.2
Uniform.prototype.mean
Returns the expected value.
var uniform = new Uniform( 4.0, 12.0 );
var mu = uniform.mean;
// returns 8.0
Uniform.prototype.median
Returns the median.
var uniform = new Uniform( 4.0, 12.0 );
var median = uniform.median;
// returns 8.0
Uniform.prototype.skewness
Returns the skewness.
var uniform = new Uniform( 4.0, 12.0 );
var skewness = uniform.skewness;
// returns 0.0
Uniform.prototype.stdev
Returns the standard deviation.
var uniform = new Uniform( 4.0, 12.0 );
var s = uniform.stdev;
// returns ~2.309
Uniform.prototype.variance
Returns the variance.
var uniform = new Uniform( 4.0, 12.0 );
var s2 = uniform.variance;
// returns ~5.333
Methods
Uniform.prototype.cdf( x )
Evaluates the cumulative distribution function (CDF).
var uniform = new Uniform( 2.0, 4.0 );
var y = uniform.cdf( 2.5 );
// returns 0.25
Uniform.prototype.logcdf( x )
Evaluates the natural logarithm of the cumulative distribution function (CDF).
var uniform = new Uniform( 2.0, 4.0 );
var y = uniform.logcdf( 2.5 );
// returns ~-1.386
Uniform.prototype.logpdf( x )
Evaluates the natural logarithm of the probability density function (PDF).
var uniform = new Uniform( 2.0, 4.0 );
var y = uniform.logpdf( 2.5 );
// returns ~-0.693
Uniform.prototype.pdf( x )
Evaluates the probability density function (PDF).
var uniform = new Uniform( 2.0, 4.0 );
var y = uniform.pdf( 2.5 );
// returns 0.5
Uniform.prototype.quantile( p )
Evaluates the quantile function at probability p
.
var uniform = new Uniform( 2.0, 4.0 );
var y = uniform.quantile( 0.5 );
// returns 3.0
y = uniform.quantile( 1.9 );
// returns NaN
Examples
var Uniform = require( '@stdlib/stats/base/dists/uniform/ctor' );
var uniform = new Uniform( 2.0, 4.0 );
var mu = uniform.mean;
// returns 3.0
var median = uniform.median;
// returns 3.0
var s2 = uniform.variance;
// returns ~0.333
var y = uniform.cdf( 2.5 );
// returns 0.25