NegativeBinomialDistribution Class

public sealed class NegativeBinomialDistribution : DiscreteDistribution

Public NotInheritable Class NegativeBinomialDistribution
	Inherits DiscreteDistribution

public ref class NegativeBinomialDistribution sealed : public DiscreteDistribution

[<SealedAttribute>]
type NegativeBinomialDistribution = 
    class
        inherit DiscreteDistribution
    end

Inheritance

Object    UnivariateDistribution    DiscreteDistribution    NegativeBinomialDistribution

Consider a series of independent, repeated Bernoulli trials, each of which results in success with probability p or failure with probability 1-p. If one repeats the trials until r failures occur, the negative binomial distribution gives the probability of having seen k successes before the rth failure.

Keep in mind that there are several different conventions for the meaning of r, p, and k. The most common are that k denotes the number of successes before the rth failure (used here and in the referenced Wikipedia article), and that k denotes the number of failures before the rth success (used by Mathematica). Since these two conventions simply switch success and failure, they can be interconverted by interchanging p and 1-p.

Reference

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