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Arcsine
Arcsine distribution constructor.
Installation
npm install @stdlib/stats-base-dists-arcsine-ctor
Usage
var Arcsine = require( '@stdlib/stats-base-dists-arcsine-ctor' );
Arcsine( [a, b] )
Returns an arcsine distribution object.
var arcsine = new Arcsine();
var mu = arcsine.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 arcsine = new Arcsine( 2.0, 4.0 );
var mu = arcsine.mean;
// returns 3.0
arcsine
An arcsine distribution object has the following properties and methods...
Writable Properties
arcsine.a
Minimum support of the distribution. a
must be a number less than b
.
var arcsine = new Arcsine();
var a = arcsine.a;
// returns 0.0
arcsine.a = 0.5;
a = arcsine.a;
// returns 0.5
arcsine.b
Maximum support of the distribution. b
must be a number greater than a
.
var arcsine = new Arcsine( 2.0, 4.0 );
var b = arcsine.b;
// returns 4.0
arcsine.b = 3.0;
b = arcsine.b;
// returns 3.0
Computed Properties
Arcsine.prototype.entropy
Returns the differential entropy.
var arcsine = new Arcsine( 4.0, 12.0 );
var entropy = arcsine.entropy;
// returns ~1.838
Arcsine.prototype.kurtosis
Returns the excess kurtosis.
var arcsine = new Arcsine( 4.0, 12.0 );
var kurtosis = arcsine.kurtosis;
// returns -1.5
Arcsine.prototype.mean
Returns the expected value.
var arcsine = new Arcsine( 4.0, 12.0 );
var mu = arcsine.mean;
// returns 8.0
Arcsine.prototype.median
Returns the median.
var arcsine = new Arcsine( 4.0, 12.0 );
var median = arcsine.median;
// returns 8.0
Arcsine.prototype.mode
Returns the mode.
var arcsine = new Arcsine( 4.0, 12.0 );
var mode = arcsine.mode;
// returns 4.0
Arcsine.prototype.skewness
Returns the skewness.
var arcsine = new Arcsine( 4.0, 12.0 );
var skewness = arcsine.skewness;
// returns 0.0
Arcsine.prototype.stdev
Returns the standard deviation.
var arcsine = new Arcsine( 4.0, 12.0 );
var s = arcsine.stdev;
// returns ~2.828
Arcsine.prototype.variance
Returns the variance.
var arcsine = new Arcsine( 4.0, 12.0 );
var s2 = arcsine.variance;
// returns 8.0
Methods
Arcsine.prototype.cdf( x )
Evaluates the cumulative distribution function (CDF).
var arcsine = new Arcsine( 2.0, 4.0 );
var y = arcsine.cdf( 2.5 );
// returns ~0.333
Arcsine.prototype.logcdf( x )
Evaluates the natural logarithm of the cumulative distribution function (CDF).
var arcsine = new Arcsine( 2.0, 4.0 );
var y = arcsine.logcdf( 2.5 );
// returns ~-1.1
Arcsine.prototype.logpdf( x )
Evaluates the natural logarithm of the probability density function (PDF).
var arcsine = new Arcsine( 2.0, 4.0 );
var y = arcsine.logpdf( 2.5 );
// returns ~-1.0
Arcsine.prototype.pdf( x )
Evaluates the probability density function (PDF).
var arcsine = new Arcsine( 2.0, 4.0 );
var y = arcsine.pdf( 2.5 );
// returns ~0.368
Arcsine.prototype.quantile( p )
Evaluates the quantile function at probability p
.
var arcsine = new Arcsine( 2.0, 4.0 );
var y = arcsine.quantile( 0.5 );
// returns 3.0
y = arcsine.quantile( 1.9 );
// returns NaN
Examples
var Arcsine = require( '@stdlib/stats-base-dists-arcsine-ctor' );
var arcsine = new Arcsine( 2.0, 4.0 );
var mu = arcsine.mean;
// returns 3.0
var median = arcsine.median;
// returns 3.0
var s2 = arcsine.variance;
// returns 0.5
var y = arcsine.cdf( 2.5 );
// returns ~0.333
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
License
See LICENSE.
Copyright
Copyright © 2016-2024. The Stdlib Authors.