## Types in MathNet.Numerics.Distributions

Type Burr

Namespace MathNet.Numerics.Distributions

Interfaces IContinuousDistribution

### Public Constructors

#### Burr(double a, double c, double k, Random randomSource)

Initializes a new instance of the Burr Type XII class.
##### Parameters
###### `double` a

The scale parameter a of the Burr distribution. Range: a > 0.

###### `double` c

The first shape parameter c of the Burr distribution. Range: c > 0.

###### `double` k

The second shape parameter k of the Burr distribution. Range: k > 0.

###### `Random` randomSource

The random number generator which is used to draw random samples. Optional, can be null.

### Public Static Functions

#### doubleCDF(double a, double c, double k, double x)

Computes the cumulative distribution (CDF) of the distribution at x, i.e. P(X ≤ x).
##### Parameters
###### `double` a

The scale parameter a of the Burr distribution. Range: a > 0.

###### `double` c

The first shape parameter c of the Burr distribution. Range: c > 0.

###### `double` k

The second shape parameter k of the Burr distribution. Range: k > 0.

###### `double` x

The location at which to compute the cumulative distribution function.

##### Return
###### `double`

the cumulative distribution at location x.

#### boolIsValidParameterSet(double a, double c, double k)

Tests whether the provided values are valid parameters for this distribution.
##### Parameters
###### `double` a

The scale parameter a of the Burr distribution. Range: a > 0.

###### `double` c

The first shape parameter c of the Burr distribution. Range: c > 0.

###### `double` k

The second shape parameter k of the Burr distribution. Range: k > 0.

#### doublePDF(double a, double c, double k, double x)

Computes the probability density of the distribution (PDF) at x, i.e. ∂P(X ≤ x)/∂x.
##### Parameters
###### `double` a

The scale parameter a of the Burr distribution. Range: a > 0.

###### `double` c

The first shape parameter c of the Burr distribution. Range: c > 0.

###### `double` k

The second shape parameter k of the Burr distribution. Range: k > 0.

###### `double` x

The location at which to compute the density.

##### Return
###### `double`

the density at x.

#### doublePDFLn(double a, double c, double k, double x)

Computes the log probability density of the distribution (lnPDF) at x, i.e. ln(∂P(X ≤ x)/∂x).
##### Parameters
###### `double` a

The scale parameter a of the Burr distribution. Range: a > 0.

###### `double` c

The first shape parameter c of the Burr distribution. Range: c > 0.

###### `double` k

The second shape parameter k of the Burr distribution. Range: k > 0.

###### `double` x

The location at which to compute the log density.

##### Return
###### `double`

the log density at x.

#### doubleSample(Random rnd, double a, double c, double k)

Generates a sample from the Burr distribution.
##### Parameters
###### `Random` rnd

The random number generator to use.

###### `double` a

The scale parameter a of the Burr distribution. Range: a > 0.

###### `double` c

The first shape parameter c of the Burr distribution. Range: c > 0.

###### `double` k

The second shape parameter k of the Burr distribution. Range: k > 0.

##### Return
###### `double`

a sample from the distribution.

#### voidSamples(Random rnd, Double[] values, double a, double c, double k)

Fills an array with samples generated from the distribution.
##### Parameters
###### `Random` rnd

The random number generator to use.

###### `Double[]` values

The array to fill with the samples.

###### `double` a

The scale parameter a of the Burr distribution. Range: a > 0.

###### `double` c

The first shape parameter c of the Burr distribution. Range: c > 0.

###### `double` k

The second shape parameter k of the Burr distribution. Range: k > 0.

#### IEnumerable<double>Samples(Random rnd, double a, double c, double k)

Generates a sequence of samples from the Burr distribution.
##### Parameters
###### `Random` rnd

The random number generator to use.

###### `double` a

The scale parameter a of the Burr distribution. Range: a > 0.

###### `double` c

The first shape parameter c of the Burr distribution. Range: c > 0.

###### `double` k

The second shape parameter k of the Burr distribution. Range: k > 0.

##### Return
###### `IEnumerable<double>`

a sequence of samples from the distribution.

### Public Methods

#### doubleCumulativeDistribution(double x)

Computes the cumulative distribution (CDF) of the distribution at x, i.e. P(X ≤ x).
##### Parameters
###### `double` x

The location at which to compute the cumulative distribution function.

##### Return
###### `double`

the cumulative distribution at location x.

#### doubleDensity(double x)

Computes the probability density of the distribution (PDF) at x, i.e. ∂P(X ≤ x)/∂x.
##### Parameters
###### `double` x

The location at which to compute the density.

##### Return
###### `double`

the density at x.

#### doubleDensityLn(double x)

Computes the log probability density of the distribution (lnPDF) at x, i.e. ln(∂P(X ≤ x)/∂x).
##### Parameters
###### `double` x

The location at which to compute the log density.

##### Return
###### `double`

the log density at x.

#### doubleGetMoment(double n)

Gets the n-th raw moment of the distribution.
##### Parameters
###### `double` n

The order (n) of the moment. Range: n ≥ 1.

##### Return
###### `double`

the n-th moment of the distribution.

#### doubleSample()

Generates a sample from the Burr distribution.
##### Return
###### `double`

a sample from the distribution.

#### IEnumerable<double>Samples()

Generates a sequence of samples from the Burr distribution.
##### Return
###### `IEnumerable<double>`

a sequence of samples from the distribution.

#### voidSamples(Double[] values)

Fills an array with samples generated from the distribution.
##### Parameters
###### `Double[]` values

The array to fill with the samples.

#### stringToString()

A string representation of the distribution.
##### Return
###### `string`

a string representation of the distribution.

### Public Properties

#### doubleA get;

Gets the scale (a) of the distribution. Range: a > 0.

#### doubleC get;

Gets the first shape parameter (c) of the distribution. Range: c > 0.

#### doubleEntropy get;

Gets the entropy of the Burr distribution (currently not supported).

#### doubleK get;

Gets the second shape parameter (k) of the distribution. Range: k > 0.

#### doubleMaximum get;

Gets the maximum of the Burr distribution.

#### doubleMean get;

Gets the mean of the Burr distribution.

#### doubleMedian get;

Gets the median of the Burr distribution.

#### doubleMinimum get;

Gets the minimum of the Burr distribution.

#### doubleMode get;

Gets the mode of the Burr distribution.

#### RandomRandomSource get; set;

Gets the random number generator which is used to draw random samples.

#### doubleSkewness get;

Gets the skewness of the Burr distribution.

#### doubleStdDev get;

Gets the standard deviation of the Burr distribution.

#### doubleVariance get;

Gets the variance of the Burr distribution.