ErlangDistribution Class

[SerializableAttribute]
public class ErlangDistribution : GammaDistribution

<SerializableAttribute>
Public Class ErlangDistribution
	Inherits GammaDistribution

[SerializableAttribute]
public ref class ErlangDistribution : public GammaDistribution

[<SerializableAttribute>]
type ErlangDistribution =  
    class
        inherit GammaDistribution
    end

The ErlangDistribution type exposes the following members.

	Name	Description
	ErlangDistribution	Constructs a new ErlangDistribution with the specified order and scale parameters.

	Name	Description
	Entropy	Gets the entropy of the distribution. (Inherited from GammaDistribution.)
	InterQuartileRange	Returns the inter-quartile range of this distribution. (Inherited from ContinuousDistribution.)
	IsSymmetrical	Gets whether the distribution is known to be symmetrical around the mean. (Inherited from ContinuousDistribution.)
	IsUnimodal	Gets whether the distribution has one or more modes. (Inherited from ContinuousDistribution.)
	Kurtosis	Gets the kurtosis of the distribution. (Inherited from GammaDistribution.)
	LocationParameter	Gets the location parameter for the distribution. (Inherited from GammaDistribution.)
	Mean	Gets the mean or expectation value of the distribution. (Inherited from GammaDistribution.)
	Median	Gets the median of the distribution. (Inherited from ContinuousDistribution.)
	Mode	Gets the mode of the distribution. (Inherited from GammaDistribution.)
	NumberOfModes	Gets the number of modes of the distribution. (Inherited from ContinuousDistribution.)
	ScaleParameter	Gets the scale parameter for the distribution. (Inherited from GammaDistribution.)
	ShapeParameter	Gets the shape parameter for the distribution. (Inherited from GammaDistribution.)
	Skewness	Gets the skewness of the distribution. (Inherited from GammaDistribution.)
	StandardDeviation	Gets the standard deviation of the distribution. (Inherited from Distribution.)
	StatisticSymbol	Gets the common symbol to describe a statistic from the distribution. (Inherited from Distribution.)
	Support	Gets the support of the distribution. (Inherited from GammaDistribution.)
	Variance	Gets the variance of the distribution. (Inherited from GammaDistribution.)

	Name	Description
	Cdf	Evaluates the cumulative distribution function (CDF) of this distribution for the specified value. (Inherited from ContinuousDistribution.)
	DistributionFunction	Returns the value of the cumulative probability distribution function. (Inherited from GammaDistribution.)
	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.)
	GetAllModes	Returns an array that contains all the modes of the distribution. (Inherited from ContinuousDistribution.)
	GetExpectationValue(FuncDouble, Double)	Returns the expectation value of a function. (Inherited from ContinuousDistribution.)
	GetExpectationValue(FuncDouble, Double, Double, Double)	Returns the un-normalized expectation value of a function over the specified interval. (Inherited from ContinuousDistribution.)
	GetExpectedHistogram(Double, Double)	Gets a vector containing a histogram of the expected number of samples for a given total number of samples. (Inherited from ContinuousDistribution.)
	GetExpectedHistogram(IntervalIndexDouble, Double)	Gets a vector containing a histogram of the expected number of samples for a given total number of samples. (Inherited from ContinuousDistribution.)
	GetExpectedHistogram(Double, Double, Int32, Double)	Gets a vector whose bins contain the expected number of samples for a given total number of samples. (Inherited from ContinuousDistribution.)
	GetHashCode	Serves as the default hash function. (Inherited from Object.)
	GetRandomSequence	Returns a sequence of random samples from the distribution. (Inherited from ContinuousDistribution.)
	GetRandomSequence(Random)	Returns a sequence of random samples from the distribution. (Inherited from ContinuousDistribution.)
	GetRandomSequence(Random, Int32)	Returns a sequence of random samples of the specified length from the distribution. (Inherited from ContinuousDistribution.)
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	HazardFunction	Returns the probability of failure at the specified value. (Inherited from ContinuousDistribution.)
	InverseCdf	Returns the inverse of the DistributionFunction(Double). (Inherited from ContinuousDistribution.)
	InverseDistributionFunction	Returns the inverse of the DistributionFunction(Double). (Inherited from GammaDistribution.)
	LeftTailProbability	Returns the probability that a sample from the distribution is less than the specified value. (Inherited from ContinuousDistribution.)
	LogProbabilityDensityFunction	Returns the logarithm of the probability density function (PDF) of this distribution for the specified value. (Inherited from GammaDistribution.)
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object.)
	MomentFunction	Returns the value of the moment function of the specified order. (Inherited from GammaDistribution.)
	Pdf	Returns the value of the probability density function (PDF) of this distribution for the specified value. (Inherited from ContinuousDistribution.)
	Probability	Returns the probability that a sample taken from the distribution lies inside the specified interval. (Inherited from ContinuousDistribution.)
	ProbabilityDensityFunction	Returns the value of the probability density function (PDF) of this distribution for the specified value. (Inherited from GammaDistribution.)
	RightTailProbability	Returns the probability that a sample from the distribution is larger than the specified value. (Inherited from ContinuousDistribution.)
	Sample	Returns a random sample from the distribution. (Inherited from ContinuousDistribution.)
	Sample(Int32)	Returns a vector of random samples from the distribution. (Inherited from ContinuousDistribution.)
	Sample(Random)	Returns a random sample from the distribution. (Inherited from GammaDistribution.)
	Sample(Int32, Random)	Returns a vector of random samples from the distribution. (Inherited from ContinuousDistribution.)
	SampleInto(Random, IListDouble)	Fills a list with random numbers from the distribution. (Inherited from ContinuousDistribution.)
	SampleInto(Random, IListDouble, Int32, Int32)	Fills part of a list with random numbers from the distribution. (Inherited from ContinuousDistribution.)
	SurvivorDistributionFunction	Evaluates the survivor distribution function (SDF) of this distribution for the specified value. (Inherited from GammaDistribution.)
	ToString	Returns a string that represents the current object. (Inherited from GammaDistribution.)
	TwoTailedProbability	Returns the probability that a sample from the distribution deviates from the mean more than the specified value. (Inherited from ContinuousDistribution.)

The Erlang distribution characterizes the distribution of the time it takes for an event to occur n times when the probability per unit time of the event occurring is constant.

The Erlang distribution is a special case of the Gamma distribution with the first parameter an integer.

When the order equals 1, the Erlang distribution reduces to the Exponential distribution.

Reference