ContinuousDistribution Class

Represents a continuous probability distribution.

Namespace: Extreme.Statistics.Distributions
Assembly: Extreme.Numerics.Net20 (in Extreme.Numerics.Net20.dll) Version: 3.6.10055.0 (3.6.10077.0)

Syntax

C#
[SerializableAttribute] public abstract class ContinuousDistribution : Distribution

Visual Basic (Declaration)
<SerializableAttribute> _ Public MustInherit Class ContinuousDistribution _ Inherits Distribution

Visual C++
[SerializableAttribute] public ref class ContinuousDistribution abstract : public Distribution

F#
[<AbstractClassAttribute>] [<SerializableAttribute>] type ContinuousDistribution = class inherit Distribution end

Remarks

The distribution of a variable is a description of the relative numbers of times each possible outcome will occur in a number of trials. The function describing the distribution is called the probability function, and the function describing the cumulative probability that a given value or any value smaller than it will occur is called the distribution function.

A continuous probability distribution is a statistical distribution whose variables can take on any value within a certain interval. This interval may be infinite.

This library contains classes for the most common continuous distributions. They are listed in the table below:

Distribution	Definition
BetaDistribution	The beta distribution.
CauchyDistribution	The Cauchy distribution.
ContinuousUniformDistribution	The continuous uniform distribution.
ErlangDistribution	The Erlang distribution.
ExponentialDistribution	The exponential distribution.
FDistribution	The F distribution.
GammaDistribution	The gamma distribution.
GumbelDistribution	The Gumbel or extreme value distribution.
LaplaceDistribution	The Laplace distribution.
LogisticDistribution	The logistic distribution.
LognormalDistribution	The log-normal distribution.
NormalDistribution	The normal distribution.
ParetoDistribution	The Pareto distribution.
RayleighDistribution	The Rayleigh distribution.
StudentTDistribution	The student-t distribution.
TriangularDistribution	The triangular distribution.
WeibullDistribution	The Weibull distribution.

ContinuousDistribution is an abstract base class that cannot be instantiated. To create a continuous distribution of a specific type, instantiate a class derived from ContinuousDistribution.

Notes to inheritors: When you inherit from ContinuousDistribution, you must override the following members: ProbabilityDensityFunction(Double), DistributionFunction(Double), Mean and Variance. You should also override the following methods: GetRandomVariate(Random), Skewness, Kurtosis.

Inheritance Hierarchy

Syntax

Remarks

Inheritance Hierarchy

See Also