Erlang Class |
Continuous Univariate Erlang distribution.
This distribution is a continuous probability distribution with wide applicability primarily due to its
relation to the exponential and Gamma distributions.
Wikipedia - Erlang distribution.
Inheritance HierarchyNamespace: Altaxo.Calc.Distributions
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
SyntaxC#
public class Erlang : IContinuousDistribution, IUnivariateDistribution, IDistribution
The Erlang type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | Erlang(Int32, Double) | Initializes a new instance of the Erlang class. |
| Erlang(Int32, Double, Random) | Initializes a new instance of the Erlang class. |
Properties| Name | Description | |
|---|---|---|
 | Entropy | Gets the entropy of the distribution. |
| Maximum | Gets the Maximum value. |
| Mean | Gets the mean of the distribution. |
| Median | Gets the median of the distribution. |
| Minimum | Gets the minimum value. |
| Mode | Gets the mode of the distribution. |
| RandomSource | Gets or sets the random number generator which is used to draw random samples. |
| Rate | Gets the rate or inverse scale (λ) of the Erlang distribution. Range: λ ≥ 0. |
| Scale | Gets the scale of the Erlang distribution. |
| Shape | Gets the shape (k) of the Erlang distribution. Range: k ≥ 0. |
| Skewness | Gets the skewness of the distribution. |
| StdDev | Gets the standard deviation of the distribution. |
| Variance | Gets the variance of the distribution. |
Methods| Name | Description | |
|---|---|---|
 | CDF | Computes the cumulative distribution (CDF) of the distribution at x, i.e. P(X ≤ x). |
| CumulativeDistribution | Computes the cumulative distribution (CDF) of the distribution at x, i.e. P(X ≤ x). |
| Density | Computes the probability density of the distribution (PDF) at x, i.e. ∂P(X ≤ x)/∂x. |
| DensityLn | Computes the log probability density of the distribution (lnPDF) at x, i.e. ln(∂P(X ≤ x)/∂x). |
| Equals | Determines whether the specified object is equal to the current object. (Inherited from Object) |
 | Finalize | Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object) |
| GetHashCode | Serves as the default hash function. (Inherited from Object) |
| GetType | Gets the Type of the current instance. (Inherited from Object) |
| IsValidParameterSet | Tests whether the provided values are valid parameters for this distribution. |
| MemberwiseClone | Creates a shallow copy of the current Object. (Inherited from Object) |
| Computes the probability density of the distribution (PDF) at x, i.e. ∂P(X ≤ x)/∂x. | |
| PDFLn | Computes the log probability density of the distribution (lnPDF) at x, i.e. ln(∂P(X ≤ x)/∂x). |
| Sample | Generates a sample from the Erlang distribution. |
| Sample(Int32, Double) | Generates a sample from the distribution. |
| Sample(Random, Int32, Double) | Generates a sample from the distribution. |
| Samples | Generates a sequence of samples from the Erlang distribution. |
| Samples(Double) | Fills an array with samples generated from the distribution. |
| Samples(Int32, Double) | Generates a sequence of samples from the distribution. |
| Samples(Double, Int32, Double) | Fills an array with samples generated from the distribution. |
| Samples(Random, Int32, Double) | Generates a sequence of samples from the distribution. |
| Samples(Random, Double, Int32, Double) | Fills an array with samples generated from the distribution. |
| ToString |
A string representation of the distribution.
(Overrides ObjectToString) |
| WithShapeRate | Constructs a Erlang distribution from a shape and inverse scale parameter. The distribution will be initialized with the default random number generator. |
| WithShapeScale | Constructs a Erlang distribution from a shape and scale parameter. The distribution will be initialized with the default random number generator. |
See Also