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GammaDistribution Class
Represents a Gamma distribution.
Inheritance Hierarchy

Namespace:  Meta.Numerics.Statistics.Distributions
Assembly:  Meta.Numerics (in Meta.Numerics.dll) Version: 3.1.0.0 (3.1.0.0)
Syntax
public sealed class GammaDistribution : Distribution

The GammaDistribution type exposes the following members.

Constructors
  NameDescription
Public methodGammaDistribution(Double)
Initializes a new instance of the standard Gamma distribution.
Public methodGammaDistribution(Double, Double)
Initializes a new instance of a Gamma distribution with the given parameters.
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Properties
  NameDescription
Public propertyExcessKurtosis
Gets the excess kurtosis of the distribution.
(Overrides UnivariateDistributionExcessKurtosis.)
Public propertyMean
Gets the mean of the distribution.
(Overrides UnivariateDistributionMean.)
Public propertyMedian
Gets the median of the distribution.
(Inherited from Distribution.)
Public propertyScaleParameter
Gets the scale parameter for the distribution.
Public propertyShapeParameter
Gets the shape parameter for the distribution.
Public propertySkewness
Gets the skewness of the distribution.
(Overrides UnivariateDistributionSkewness.)
Public propertyStandardDeviation
Gets the standard deviation of the distribution.
(Inherited from UnivariateDistribution.)
Public propertySupport
Gets the interval over which the distribution is nonvanishing.
(Overrides DistributionSupport.)
Public propertyVariance
Gets the variance of the distribution.
(Overrides UnivariateDistributionVariance.)
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Methods
  NameDescription
Public methodCumulant
Computes a cumulant of the distribution.
(Overrides UnivariateDistributionCumulant(Int32).)
Public methodEquals
Determines whether the specified Object is equal to the current Object.
(Inherited from Object.)
Public methodExpectationValue
Computes the expectation value of the given function.
(Inherited from Distribution.)
Public methodStatic memberFitToSample
Computes the Gamma distribution that best fits the given sample.
Public methodGetHashCode
Serves as a hash function for a particular type.
(Inherited from Object.)
Public methodGetRandomValue
Returns a random value.
(Overrides DistributionGetRandomValue(Random).)
Public methodGetType
Gets the Type of the current instance.
(Inherited from Object.)
Public methodInverseLeftProbability
Returns the point at which the cumulative distribution function attains a given value.
(Overrides DistributionInverseLeftProbability(Double).)
Public methodInverseRightProbability
Returns the point at which the right probability function attains the given value.
(Inherited from Distribution.)
Public methodLeftProbability
Returns the cumulative probability to the left of (below) the given point.
(Overrides DistributionLeftProbability(Double).)
Public methodMoment
Computes a raw moment of the distribution.
(Overrides DistributionMoment(Int32).)
Public methodMomentAboutMean
Computes a central moment of the distribution.
(Overrides DistributionMomentAboutMean(Int32).)
Public methodProbabilityDensity
Returns the probability density at the given point.
(Overrides DistributionProbabilityDensity(Double).)
Public methodRightProbability
Return the cumulative probability to the right of (above) the given point.
(Overrides DistributionRightProbability(Double).)
Public methodToString
Returns a string that represents the current object.
(Inherited from Object.)
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Remarks

The sum of n exponentially distributed variates is a Gamma distributed variate.

When the shape parameter is an integer, the Gamma distribution is also called the Erlang distribution. When the shape parameter is one, the Gamma distribution reduces to the exponential distribution.

See Also