Distribution Class

Represents a statistical distribution.

Definition

Namespace: Numerics.NET.Statistics.Distributions
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.3
C#
[SerializableAttribute]
public abstract class Distribution
Inheritance
Object  →  Distribution
Derived

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 or probability density function, and the function describing the cumulative probability that a given value or any value smaller than it will occur is called the cumulative distribution function.

Distributions can be univariate, meaning the outcome is expressed by a single number, or multivariate, meaning the outcome is expressed using multiple numbers. Most commonly used distributions are univariate distributions.

There are two main types of univariate distributions: discrete and continuous. A discrete probability distribution is a statistical distribution whose variables can take on only discrete values. A continuous probability distribution is a statistical distribution whose variables can take on any value within an interval. The interval can be infinite.

Notes to inheritors: You should not inherit from Distribution directly. Instead, inherit from DiscreteDistribution if you are implementing a discrete probability distribution, and from ContinuousDistribution if you are implementing a continuous probability distribution.

Constructors

Distribution Constructs a new Distribution object.

Properties

Capabilities Gets a value that indicates the capabilities of the distribution class.
Entropy Gets the entropy of the distribution.
Kurtosis Gets the kurtosis of the distribution.
Mean Gets the mean or expectation value of the distribution.
Skewness Gets the skewness of the distribution.
StandardDeviation Gets the standard deviation of the distribution.
StatisticSymbol Gets the common symbol to describe a statistic from the distribution.
Variance Gets the variance of the distribution.

Methods

EqualsDetermines whether the specified object is equal to the current object.
(Inherited from Object)
FinalizeAllows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection.
(Inherited from Object)
GetHashCodeServes as the default hash function.
(Inherited from Object)
GetTypeGets the Type of the current instance.
(Inherited from Object)
MemberwiseCloneCreates a shallow copy of the current Object.
(Inherited from Object)
ToStringReturns a string that represents the current object.
(Inherited from Object)

See Also