## Types in MathNet.Numerics.Distributions

Type Exponential

Namespace MathNet.Numerics.Distributions

Interfaces IContinuousDistribution

Continuous Univariate Exponential distribution. The exponential distribution is a distribution over the real numbers parameterized by one non-negative parameter..

### Public Constructors

#### Exponential(double rate, Random randomSource)

Initializes a new instance of the Exponential class.
##### Parameters
###### `double` rate

The rate (λ) parameter of the distribution. Range: λ ≥ 0.

###### `Random` randomSource

The random number generator which is used to draw random samples.

#### Exponential(double rate)

Initializes a new instance of the Exponential class.
##### Parameters
###### `double` rate

The rate (λ) parameter of the distribution. Range: λ ≥ 0.

### Public Static Functions

#### doubleCDF(double rate, double x)

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

The rate (λ) parameter of the distribution. Range: λ ≥ 0.

###### `double` x

The location at which to compute the cumulative distribution function.

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

the cumulative distribution at location x.

#### doubleInvCDF(double rate, double p)

Computes the inverse of the cumulative distribution function (InvCDF) for the distribution at the given probability. This is also known as the quantile or percent point function.
##### Parameters
###### `double` rate

The rate (λ) parameter of the distribution. Range: λ ≥ 0.

###### `double` p

The location at which to compute the inverse cumulative density.

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

the inverse cumulative density at p.

#### boolIsValidParameterSet(double rate)

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

The rate (λ) parameter of the distribution. Range: λ ≥ 0.

#### doublePDF(double rate, double x)

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

The rate (λ) parameter of the distribution. Range: λ ≥ 0.

###### `double` x

The location at which to compute the density.

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

the density at x.

#### doublePDFLn(double rate, double x)

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

The rate (λ) parameter of the distribution. Range: λ ≥ 0.

###### `double` x

The location at which to compute the density.

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

the log density at x.

#### doubleSample(double rate)

Draws a random sample from the distribution.
##### Parameters
###### `double` rate

The rate (λ) parameter of the distribution. Range: λ ≥ 0.

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

A random number from this distribution.

#### doubleSample(Random rnd, double rate)

Draws a random sample from the distribution.
##### Parameters
###### `Random` rnd

The random number generator to use.

###### `double` rate

The rate (λ) parameter of the distribution. Range: λ ≥ 0.

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

A random number from this distribution.

#### voidSamples(Random rnd, Double[] values, double rate)

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` rate

The rate (λ) parameter of the distribution. Range: λ ≥ 0.

##### Return
###### `void`

a sequence of samples from the distribution.

#### voidSamples(Double[] values, double rate)

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

The array to fill with the samples.

###### `double` rate

The rate (λ) parameter of the distribution. Range: λ ≥ 0.

##### Return
###### `void`

a sequence of samples from the distribution.

#### IEnumerable<double>Samples(double rate)

Generates a sequence of samples from the Exponential distribution.
##### Parameters
###### `double` rate

The rate (λ) parameter of the distribution. Range: λ ≥ 0.

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

a sequence of samples from the distribution.

#### IEnumerable<double>Samples(Random rnd, double rate)

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

The random number generator to use.

###### `double` rate

The rate (λ) parameter of the distribution. Range: λ ≥ 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.

#### doubleInverseCumulativeDistribution(double p)

Computes the inverse of the cumulative distribution function (InvCDF) for the distribution at the given probability. This is also known as the quantile or percent point function.
##### Parameters
###### `double` p

The location at which to compute the inverse cumulative density.

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

the inverse cumulative density at p.

#### doubleSample()

Draws a random sample from the distribution.
##### Return
###### `double`

A random number from this distribution.

#### IEnumerable<double>Samples()

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

a sequence of samples from the distribution.

#### voidSamples(Double[] values)

Fills an array with samples generated from the distribution.

#### stringToString()

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

a string representation of the distribution.

### Public Properties

#### doubleEntropy get;

Gets the entropy of the distribution.

#### doubleMaximum get;

Gets the maximum of the distribution.

#### doubleMean get;

Gets the mean of the distribution.

#### doubleMedian get;

Gets the median of the distribution.

#### doubleMinimum get;

Gets the minimum of the distribution.

#### doubleMode get;

Gets the mode of the distribution.

#### RandomRandomSource get; set;

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

#### doubleRate get;

Gets the rate (λ) parameter of the distribution. Range: λ ≥ 0.

#### doubleSkewness get;

Gets the skewness of the distribution.

#### doubleStdDev get;

Gets the standard deviation of the distribution.

#### doubleVariance get;

Gets the variance of the distribution.