Usage

`javascript
var Beta = require( '@stdlib/stats-base-dists-beta-ctor' );
`

#### Beta( \[alpha, beta] )

Returns a [beta][beta-distribution] distribution object.

`javascript
var beta = new Beta();

var mu = beta.mean;
// returns 0.5
`

By default, alpha = 1.0 and beta = 1.0. To create a distribution having a different alpha (first shape parameter) and beta (second shape parameter), provide the corresponding arguments.

`javascript
var beta = new Beta( 2.0, 4.0 );

var mu = beta.mean;
// returns ~0.333
`

*

beta

A [beta][beta-distribution] distribution object has the following properties and methods...

$3

#### beta.alpha

First shape parameter of the distribution. alpha must be a positive number.

`javascript
var beta = new Beta();

var alpha = beta.alpha;
// returns 1.0

beta.alpha = 3.0;

alpha = beta.alpha;
// returns 3.0
`

#### beta.beta

Second shape parameter of the distribution. beta must be a positive number.

`javascript
var beta = new Beta( 2.0, 4.0 );

var b = beta.beta;
// returns 4.0

beta.beta = 3.0;

b = beta.beta;
// returns 3.0
`

*

$3

#### Beta.prototype.entropy

Returns the [differential entropy][entropy].

`javascript
var beta = new Beta( 4.0, 12.0 );

var entropy = beta.entropy;
// returns ~-0.869
`

#### Beta.prototype.kurtosis

Returns the [excess kurtosis][kurtosis].

`javascript
var beta = new Beta( 4.0, 12.0 );

var kurtosis = beta.kurtosis;
// returns ~0.082
`

#### Beta.prototype.mean

Returns the [expected value][expected-value].

`javascript
var beta = new Beta( 4.0, 12.0 );

var mu = beta.mean;
// returns 0.25
`

#### Beta.prototype.median

Returns the [median][median].

`javascript
var beta = new Beta( 4.0, 12.0 );

var median = beta.median;
// returns ~0.239
`

#### Beta.prototype.mode

Returns the [mode][mode].

`javascript
var beta = new Beta( 4.0, 12.0 );

var mode = beta.mode;
// returns ~0.214
`

#### Beta.prototype.skewness

Returns the [skewness][skewness].

`javascript
var beta = new Beta( 4.0, 12.0 );

var skewness = beta.skewness;
// returns ~0.529
`

#### Beta.prototype.stdev

Returns the [standard deviation][standard-deviation].

`javascript
var beta = new Beta( 4.0, 12.0 );

var s = beta.stdev;
// returns ~0.105
`

#### Beta.prototype.variance

Returns the [variance][variance].

`javascript
var beta = new Beta( 4.0, 12.0 );

var s2 = beta.variance;
// returns ~0.011
`

*

$3

#### Beta.prototype.cdf( x )

Evaluates the [cumulative distribution function][cdf] (CDF).

`javascript
var beta = new Beta( 2.0, 4.0 );

var y = beta.cdf( 0.5 );
// returns ~0.813
`

#### Beta.prototype.logcdf( x )

Evaluates the natural logarithm of the [cumulative distribution function][cdf] (CDF).

`javascript
var beta = new Beta( 2.0, 4.0 );

var y = beta.logcdf( 0.5 );
// returns ~-0.208
`

#### Beta.prototype.logpdf( x )

Evaluates the natural logarithm of the [probability density function][pdf] (PDF).

`javascript
var beta = new Beta( 2.0, 4.0 );

var y = beta.logpdf( 0.8 );
// returns ~-2.0557
`

#### Beta.prototype.mgf( t )

Evaluates the [moment-generating function][mgf] (MGF).

`javascript
var beta = new Beta( 2.0, 4.0 );

var y = beta.mgf( 0.5 );
// returns ~1.186
`

#### Beta.prototype.pdf( x )

Evaluates the [probability density function][pdf] (PDF).

`javascript
var beta = new Beta( 2.0, 4.0 );

var y = beta.pdf( 0.8 );
// returns ~0.128
`

#### Beta.prototype.quantile( p )

Evaluates the [quantile function][quantile-function] at probability p.

`javascript
var beta = new Beta( 2.0, 4.0 );

var y = beta.quantile( 0.5 );
// returns ~0.314

y = beta.quantile( 1.9 );
// returns NaN
`