DiscreteDistribution Class

Members See Also

Represents a discrete probability distribution.

Namespace: Extreme.Statistics.Distributions
Assembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 4.2.11333.0 (4.2.12253.0)

Syntax

C#
[SerializableAttribute] public abstract class DiscreteDistribution : Distribution

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

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

F#
[<AbstractClassAttribute>] [<SerializableAttribute>] type DiscreteDistribution = 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 discrete probability distribution is a statistical distribution whose variables can take on only discrete values.

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

Distribution	Definition
BernoulliDistribution	The outcome of a single trial.
BinomialDistribution	The number of successes in N trials.
GeometricDistribution	The number of failures before the first success.
HypergeometricDistribution	The number of successes in N trials taken from a set with m good outcomes and n bad outcomes.
NegativeBinomialDistribution	The number of failures before the nth success.
PoissonDistribution	The number of occurrences of an event in a specified unit of space or time.
DiscreteUniformDistribution	A distribution with a constant probability over an interval.

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

Notes to inheritors: When you inherit from DiscreteDistribution, you must override the following members: Probability(Int32), DistributionFunction(Int32), GetRandomVariate(Random), Mean, and Variance.

Inheritance Hierarchy