BUILT-IN MATHEMATICA SYMBOL

# NegativeMultinomialDistribution

represents a negative multinomial distribution with parameter n and failure probability vector p.

## DetailsDetails

• The probability for a vector of non-negative integers , , ..., , where is the length of in a negative multinomial distribution, is proportional to .
• The parameter n can be any positive real number, and p can be any vector of non-negative real numbers that sum to less than unity.
• If n is a positive integer, gives the distribution of the failure counts in a sequence of trials with success probability 1-Total[p] and Length[p] types of failure before n successes occur.
• NegativeMultinomialDistribution can be used with such functions as Mean, CDF, and RandomVariate.

## ExamplesExamplesopen allclose all

### Basic Examples (4)Basic Examples (4)

Probability density function:

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Cumulative distribution function:

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Mean and variance:

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Covariance:

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