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BUILT-IN MATHEMATICA SYMBOL
NegativeMultinomialDistribution
NegativeMultinomialDistribution[n, p]
represents a negative multinomial distribution with parameter n and failure probability vector p.
Details
- 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, NegativeMultinomialDistribution[n, p] 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.
New in 8
