ChiDistribution Class |
Represents a χ distribution.
Inheritance HierarchySystemObject
Meta.Numerics.Statistics.DistributionsUnivariateDistribution
Meta.Numerics.Statistics.DistributionsContinuousDistribution
Meta.Numerics.Statistics.DistributionsChiDistribution
Meta.Numerics.Statistics.DistributionsUnivariateDistribution
Meta.Numerics.Statistics.DistributionsContinuousDistribution
Meta.Numerics.Statistics.DistributionsChiDistribution
Namespace: Meta.Numerics.Statistics.Distributions
Assembly: Meta.Numerics (in Meta.Numerics.dll) Version: 4.1.4
SyntaxThe ChiDistribution type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | ChiDistribution |
Initializes a new χ distribution.
|
Properties| Name | Description | |
|---|---|---|
 | DegreesOfFreedom |
Gets the number of degrees of freedom ν of the distribution.
|
| ExcessKurtosis |
Gets the excess kurtosis of the distribution.
(Inherited from UnivariateDistribution.) |
| Mean |
Gets the mean of the distribution.
(Inherited from UnivariateDistribution.) |
| Median |
Gets the median of the distribution.
(Inherited from ContinuousDistribution.) |
| Skewness |
Gets the skewness of the distribution.
(Inherited from UnivariateDistribution.) |
| StandardDeviation |
Gets the standard deviation of the distribution.
(Inherited from UnivariateDistribution.) |
| Support |
Gets the interval over which the distribution is non-vanishing.
(Overrides ContinuousDistributionSupport.) |
| Variance |
Gets the variance of the distribution.
(Overrides UnivariateDistributionVariance.) |
Methods| Name | Description | |
|---|---|---|
| CentralMoment |
Computes a central moment of the distribution.
(Inherited from ContinuousDistribution.) |
| Cumulant |
Computes a cumulant of the distribution.
(Inherited from UnivariateDistribution.) |
| Equals | Determines whether the specified object is equal to the current object. (Inherited from Object.) |
| ExpectationValue |
Computes the expectation value of the given function.
(Inherited from ContinuousDistribution.) |
| GetHashCode | Serves as the default hash function. (Inherited from Object.) |
| GetRandomValue |
Generates a random variate.
(Inherited from ContinuousDistribution.) |
| GetRandomValues |
Generates the given number of random variates.
(Inherited from ContinuousDistribution.) |
| GetType | Gets the Type of the current instance. (Inherited from Object.) |
| Hazard |
Computes the hazard function.
(Inherited from ContinuousDistribution.) |
| InverseLeftProbability |
Returns the point at which the cumulative distribution function attains a given value.
(Overrides ContinuousDistributionInverseLeftProbability(Double).) |
| InverseRightProbability |
Returns the point at which the right probability function attains the given value.
(Overrides ContinuousDistributionInverseRightProbability(Double).) |
| LeftProbability |
Returns the cumulative probability to the left of (below) the given point.
(Overrides ContinuousDistributionLeftProbability(Double).) |
| ProbabilityDensity |
Returns the probability density at the given point.
(Overrides ContinuousDistributionProbabilityDensity(Double).) |
| RawMoment |
Computes a raw moment of the distribution.
(Overrides ContinuousDistributionRawMoment(Int32).) |
| RightProbability |
Returns the cumulative probability to the right of (above) the given point.
(Overrides ContinuousDistributionRightProbability(Double).) |
| ToString | Returns a string that represents the current object. (Inherited from Object.) |
RemarksThe χ distribution is the distribution of the magnitude of a ν-dimensional vector whose individual components are normally distributed.
Since the distribution of the same sum of squares without taking the square root is called the χ2 distribution, (ChiSquaredDistribution), this distribution is called the χ distribution.
The particular case with ν = 2 is the RayleighDistribution.
See Also