VonMisesFisherDistribution Class

Von-Mises Fisher distribution.

Inheritance Hierarchy

SystemObject
  Accord.Statistics.DistributionsDistributionBase
    Accord.Statistics.Distributions.MultivariateMultivariateContinuousDistribution
      Accord.Statistics.Distributions.MultivariateVonMisesFisherDistribution

Namespace: Accord.Statistics.Distributions.Multivariate
Assembly: Accord.Statistics (in Accord.Statistics.dll) Version: 3.8.0

Syntax

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[SerializableAttribute]
public class VonMisesFisherDistribution : MultivariateContinuousDistribution, 
	ISampleableDistribution<double[]>, IDistribution<double[]>, IDistribution, 
	ICloneable, IRandomNumberGenerator<double[]>

<SerializableAttribute>
Public Class VonMisesFisherDistribution
	Inherits MultivariateContinuousDistribution
	Implements ISampleableDistribution(Of Double()), IDistribution(Of Double()), 
	IDistribution, ICloneable, IRandomNumberGenerator(Of Double())

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The VonMisesFisherDistribution type exposes the following members.

Constructors

	Name	Description
	VonMisesFisherDistribution(Double, Double)	Constructs a Von-Mises Fisher distribution with unit mean.
	VonMisesFisherDistribution(Int32, Double)	Constructs a Von-Mises Fisher distribution with unit mean.

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Properties

	Name	Description
	Covariance	Not supported. (Overrides MultivariateContinuousDistributionCovariance.)
	Dimension	Gets the number of variables for this distribution. (Inherited from MultivariateContinuousDistribution.)
	Mean	Gets the mean for this distribution. (Overrides MultivariateContinuousDistributionMean.)
	Median	Gets the median for this distribution. (Inherited from MultivariateContinuousDistribution.)
	Mode	Gets the mode for this distribution. (Inherited from MultivariateContinuousDistribution.)
	Variance	Not supported. (Overrides MultivariateContinuousDistributionVariance.)

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Methods

	Name	Description
	Clone	Creates a new object that is a copy of the current instance. (Overrides DistributionBaseClone.)
	ComplementaryDistributionFunction	Gets the complementary cumulative distribution function (ccdf) for this distribution evaluated at point x. This function is also known as the Survival function. (Inherited from MultivariateContinuousDistribution.)
	DistributionFunction	Gets the probability density function (pdf) for this distribution evaluated at point x. (Inherited from MultivariateContinuousDistribution.)
	Equals	Determines whether the specified object is equal to the current object. (Inherited from Object.)
	Finalize	Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object.)
	Fit(Double)	Fits the underlying distribution to a given set of observations. (Inherited from MultivariateContinuousDistribution.)
	Fit(Double, IFittingOptions)	Fits the underlying distribution to a given set of observations. (Inherited from MultivariateContinuousDistribution.)
	Fit(Double, Double)	Fits the underlying distribution to a given set of observations. (Inherited from MultivariateContinuousDistribution.)
	Fit(Double, Int32)	Fits the underlying distribution to a given set of observations. (Inherited from MultivariateContinuousDistribution.)
	Fit(Double, Double, IFittingOptions)	Fits the underlying distribution to a given set of observations. (Inherited from MultivariateContinuousDistribution.)
	Fit(Double, Int32, IFittingOptions)	Fits the underlying distribution to a given set of observations. (Inherited from MultivariateContinuousDistribution.)
	Generate	Generates a random observation from the current distribution. (Inherited from MultivariateContinuousDistribution.)
	Generate(Double)	Generates a random observation from the current distribution. (Inherited from MultivariateContinuousDistribution.)
	Generate(Int32)	Generates a random vector of observations from the current distribution. (Inherited from MultivariateContinuousDistribution.)
	Generate(Int32)	Generates a random observation from the current distribution. (Inherited from MultivariateContinuousDistribution.)
	Generate(Random)	Generates a random observation from the current distribution. (Inherited from MultivariateContinuousDistribution.)
	Generate(Double, Random)	Generates a random observation from the current distribution. (Inherited from MultivariateContinuousDistribution.)
	Generate(Int32, Double)	Generates a random vector of observations from the current distribution. (Inherited from MultivariateContinuousDistribution.)
	Generate(Int32, Int32)	Generates a random vector of observations from the current distribution. (Inherited from MultivariateContinuousDistribution.)
	Generate(Int32, Random)	Generates a random vector of observations from the current distribution. (Inherited from MultivariateContinuousDistribution.)
	Generate(Int32, Random)	Generates a random observation from the current distribution. (Inherited from MultivariateContinuousDistribution.)
	Generate(Int32, Int32, Random)	Generates a random vector of observations from the current distribution. (Inherited from MultivariateContinuousDistribution.)
	Generate(Int32, Double, Random)	Generates a random vector of observations from the current distribution. (Overrides MultivariateContinuousDistributionGenerate(Int32, Double, Random).)
	GetHashCode	Serves as the default hash function. (Inherited from Object.)
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	InnerComplementaryDistributionFunction	Gets the complementary cumulative distribution function (ccdf) for this distribution evaluated at point x. This function is also known as the Survival function. (Inherited from MultivariateContinuousDistribution.)
	InnerDistributionFunction	Not supported. (Overrides MultivariateContinuousDistributionInnerDistributionFunction(Double).)
	InnerLogProbabilityDensityFunction	Gets the log-probability density function (pdf) for this distribution evaluated at point x. (Inherited from MultivariateContinuousDistribution.)
	InnerProbabilityDensityFunction	Gets the probability density function (pdf) for this distribution evaluated at point x. (Overrides MultivariateContinuousDistributionInnerProbabilityDensityFunction(Double).)
	LogProbabilityDensityFunction	Gets the log-probability density function (pdf) for this distribution evaluated at point x. (Inherited from MultivariateContinuousDistribution.)
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object.)
	ProbabilityDensityFunction	Gets the probability density function (pdf) for this distribution evaluated at point x. (Inherited from MultivariateContinuousDistribution.)
	ToString	Returns a String that represents this instance. (Inherited from DistributionBase.)
	ToString(IFormatProvider)	Returns a String that represents this instance. (Inherited from DistributionBase.)
	ToString(String)	Returns a String that represents this instance. (Inherited from DistributionBase.)
	ToString(String, IFormatProvider)	Returns a String that represents this instance. (Overrides DistributionBaseToString(String, IFormatProvider).)

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Extension Methods

	Name	Description
	HasMethod	Checks whether an object implements a method with the given name. (Defined by ExtensionMethods.)
	IsEqual	Compares two objects for equality, performing an elementwise comparison if the elements are vectors or matrices. (Defined by Matrix.)
	To(Type)	Overloaded. Converts an object into another type, irrespective of whether the conversion can be done at compile time or not. This can be used to convert generic types to numeric types during runtime. (Defined by ExtensionMethods.)
	ToT	Overloaded. Converts an object into another type, irrespective of whether the conversion can be done at compile time or not. This can be used to convert generic types to numeric types during runtime. (Defined by ExtensionMethods.)

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Remarks

In directional statistics, the von Mises–Fisher distribution is a probability distribution on the (p-1)-dimensional sphere in R^p. If p = 2 the distribution reduces to the von Mises distribution on the circle.

References:

Wikipedia, The Free Encyclopedia. Von Mises-Fisher Distribution. Available on: https://en.wikipedia.org/wiki/Von_Mises%E2%80%93Fisher_distribution

Reference

Accord.Statistics.Distributions.Multivariate Namespace

Accord.Statistics.Distributions.UnivariateVonMisesDistribution