Usage

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

#### Normal( \[mu, sigma] )

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

`javascript
var normal = new Normal();

var mu = normal.mean;
// returns 0.0
`

By default, mu = 0.0 and sigma = 1.0. To create a distribution having a different mu (mean parameter) and sigma (standard deviation), provide the corresponding arguments.

`javascript
var normal = new Normal( 2.0, 4.0 );

var mu = normal.mean;
// returns 2.0
`

*

normal

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

$3

#### normal.mu

Mean parameter of the distribution.

`javascript
var normal = new Normal();

var mu = normal.mu;
// returns 0.0

normal.mu = 3.0;

mu = normal.mu;
// returns 3.0
`

#### normal.sigma

Standard deviation of the distribution. sigma must be a positive number.

`javascript
var normal = new Normal( 2.0, 4.0 );

var sigma = normal.sigma;
// returns 4.0

normal.sigma = 3.0;

sigma = normal.sigma;
// returns 3.0
`

*

$3

#### Normal.prototype.entropy

Returns the [differential entropy][entropy].

`javascript
var normal = new Normal( 4.0, 12.0 );

var entropy = normal.entropy;
// returns ~3.904
`

#### Normal.prototype.kurtosis

Returns the [excess kurtosis][kurtosis].

`javascript
var normal = new Normal( 4.0, 12.0 );

var kurtosis = normal.kurtosis;
// returns 0.0
`

#### Normal.prototype.mean

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

`javascript
var normal = new Normal( 4.0, 12.0 );

var mu = normal.mean;
// returns 4.0
`

#### Normal.prototype.median

Returns the [median][median].

`javascript
var normal = new Normal( 4.0, 12.0 );

var median = normal.median;
// returns 4.0
`

#### Normal.prototype.mode

Returns the [mode][mode].

`javascript
var normal = new Normal( 4.0, 12.0 );

var mode = normal.mode;
// returns 4.0
`

#### Normal.prototype.skewness

Returns the [skewness][skewness].

`javascript
var normal = new Normal( 4.0, 12.0 );

var skewness = normal.skewness;
// returns 0.0
`

#### Normal.prototype.stdev

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

`javascript
var normal = new Normal( 4.0, 12.0 );

var s = normal.stdev;
// returns 12.0
`

#### Normal.prototype.variance

Returns the [variance][variance].

`javascript
var normal = new Normal( 4.0, 12.0 );

var s2 = normal.variance;
// returns 144.0
`

*

$3

#### Normal.prototype.cdf( x )

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

`javascript
var normal = new Normal( 2.0, 4.0 );

var y = normal.cdf( 0.5 );
// returns ~0.354
`

#### Normal.prototype.logcdf( x )

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

`javascript
var normal = new Normal( 2.0, 4.0 );

var y = normal.logcdf( 0.5 );
// returns ~-1.039
`

#### Normal.prototype.logpdf( x )

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

`javascript
var normal = new Normal( 2.0, 4.0 );

var y = normal.logpdf( 2.0 );
// returns ~-2.305
`

#### Normal.prototype.mgf( t )

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

`javascript
var normal = new Normal( 2.0, 4.0 );

var y = normal.mgf( 0.2 );
// returns ~2.054
`

#### Normal.prototype.pdf( x )

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

`javascript
var normal = new Normal( 2.0, 4.0 );

var y = normal.pdf( 2.0 );
// returns ~0.1
`

#### Normal.prototype.quantile( p )

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

`javascript
var normal = new Normal( 2.0, 4.0 );

var y = normal.quantile( 0.5 );
// returns 2.0

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