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NegativeBinomial Class

Discrete Univariate Negative Binomial distribution. The negative binomial is a distribution over the natural numbers with two parameters r, p. For the special case that r is an integer one can interpret the distribution as the number of failures before the r'th success when the probability of success is p. Wikipedia - NegativeBinomial distribution.
Inheritance Hierarchy
SystemObject
  Altaxo.Calc.DistributionsNegativeBinomial

Namespace: Altaxo.Calc.Distributions
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
Syntax
C#
public class NegativeBinomial : IDiscreteDistribution, 
	IUnivariateDistribution, IDistribution

The NegativeBinomial type exposes the following members.

Constructors
 NameDescription
Public methodNegativeBinomial(Double, Double) Initializes a new instance of the NegativeBinomial class.
Public methodNegativeBinomial(Double, Double, Random) Initializes a new instance of the NegativeBinomial class.
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Properties
 NameDescription
Public propertyEntropy Gets the entropy of the distribution.
Public propertyMaximum Gets the largest element in the domain of the distributions which can be represented by an integer.
Public propertyMean Gets the mean of the distribution.
Public propertyMedian Gets the median of the distribution.
Public propertyMinimum Gets the smallest element in the domain of the distributions which can be represented by an integer.
Public propertyMode Gets the mode of the distribution
Public propertyP Gets the probability of success. Range: 0 ≤ p ≤ 1.
Public propertyR Gets the number of successes. Range: r ≥ 0.
Public propertyRandomSource Gets or sets the random number generator which is used to draw random samples.
Public propertySkewness Gets the skewness of the distribution.
Public propertyStdDev Gets the standard deviation of the distribution.
Public propertyVariance Gets the variance of the distribution.
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Methods
 NameDescription
Public methodStatic memberCDF Computes the cumulative distribution (CDF) of the distribution at x, i.e. P(X ≤ x).
Public methodCumulativeDistribution Computes the cumulative distribution (CDF) of the distribution at x, i.e. P(X ≤ x).
Public methodEqualsDetermines whether the specified object is equal to the current object.
(Inherited from Object)
Protected methodFinalizeAllows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection.
(Inherited from Object)
Public methodGetHashCodeServes as the default hash function.
(Inherited from Object)
Public methodGetTypeGets the Type of the current instance.
(Inherited from Object)
Public methodStatic memberIsValidParameterSet Tests whether the provided values are valid parameters for this distribution.
Protected methodMemberwiseCloneCreates a shallow copy of the current Object.
(Inherited from Object)
Public methodStatic memberPMF Computes the probability mass (PMF) at k, i.e. P(X = k).
Public methodStatic memberPMFLn Computes the log probability mass (lnPMF) at k, i.e. ln(P(X = k)).
Public methodProbability Computes the probability mass (PMF) at k, i.e. P(X = k).
Public methodProbabilityLn Computes the log probability mass (lnPMF) at k, i.e. ln(P(X = k)).
Public methodSample Samples a NegativeBinomial distributed random variable.
Public methodStatic memberSample(Double, Double) Samples a random variable.
Public methodStatic memberSample(Random, Double, Double) Samples a random variable.
Public methodSamples Samples an array of NegativeBinomial distributed random variables.
Public methodSamples(Int32) Fills an array with samples generated from the distribution.
Public methodStatic memberSamples(Double, Double) Samples a sequence of this random variable.
Public methodStatic memberSamples(Int32, Double, Double) Fills an array with samples generated from the distribution.
Public methodStatic memberSamples(Random, Double, Double) Samples a sequence of this random variable.
Public methodStatic memberSamples(Random, Int32, Double, Double) Fills an array with samples generated from the distribution.
Public methodToString Returns a String that represents this instance.
(Overrides ObjectToString)
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See Also