Poisson Class |
Discrete Univariate Poisson distribution.
Inheritance HierarchyNamespace: Altaxo.Calc.Distributions
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
SyntaxC#
public class Poisson : IDiscreteDistribution, IUnivariateDistribution, IDistribution
The Poisson type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | Poisson(Double) | Initializes a new instance of the Poisson class. |
| Poisson(Double, Random) | Initializes a new instance of the Poisson class. |
Properties| Name | Description | |
|---|---|---|
 | Entropy | Gets the entropy of the distribution. |
| Lambda | Gets the Poisson distribution parameter λ. Range: λ > 0. |
| Maximum | Gets the largest element in the domain of the distributions which can be represented by an integer. |
| Mean | Gets the mean of the distribution. |
| Median | Gets the median of the distribution. |
| Minimum | Gets the smallest element in the domain of the distributions which can be represented by an integer. |
| Mode | Gets the mode of the distribution. |
| RandomSource | Gets the random number generator which is used to draw random samples. |
| 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). |
| 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) |
| PMF | Computes the probability mass (PMF) at k, i.e. P(X = k). |
| PMFLn | Computes the log probability mass (lnPMF) at k, i.e. ln(P(X = k)). |
| Probability | Computes the probability mass (PMF) at k, i.e. P(X = k). |
| ProbabilityLn | Computes the log probability mass (lnPMF) at k, i.e. ln(P(X = k)). |
| Sample | Samples a Poisson distributed random variable. |
| Sample(Double) | Samples a Poisson distributed random variable. |
| Sample(Random, Double) | Samples a Poisson distributed random variable. |
| Samples | Samples an array of Poisson distributed random variables. |
| Samples(Double) | Samples a sequence of Poisson distributed random variables. |
| Samples(Int32) | Fills an array with samples generated from the distribution. |
| Samples(Int32, Double) | Fills an array with samples generated from the distribution. |
| Samples(Random, Double) | Samples a sequence of Poisson distributed random variables. |
| Samples(Random, Int32, Double) | Fills an array with samples generated from the distribution. |
| ToString |
Returns a String that represents this instance.
(Overrides ObjectToString) |
RemarksDistribution is described at Wikipedia - Poisson distribution.
Knuth's method is used to generate Poisson distributed random variables.
f(x) = exp(-λ)*λ^x/x!;
See Also