Arcsine
Arcsine distribution constructor.
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