NegativeMultinomialDistribution
NegativeMultinomialDistribution[n,p]
represents a negative multinomial distribution with parameter n and failure probability vector p.
Details and Options
- To use NegativeMultinomialDistribution, you first need to load the Multivariate Statistics Package using Needs["MultivariateStatistics`"].
- The probability for a vector x of non-negative integers x1, x2, …, xLength[p] in a negative multinomial distribution is proportional to (n-1+∑xi)!∏(pixi/xi!).
- 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 RandomInteger.
Examples
open allclose allBasic Examples (3)
Properties & Relations (1)
Possible Issues (2)
Text
Wolfram Research (2007), NegativeMultinomialDistribution, Wolfram Language function, https://reference.wolfram.com/language/MultivariateStatistics/ref/NegativeMultinomialDistribution.html.
CMS
Wolfram Language. 2007. "NegativeMultinomialDistribution." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/MultivariateStatistics/ref/NegativeMultinomialDistribution.html.
APA
Wolfram Language. (2007). NegativeMultinomialDistribution. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/MultivariateStatistics/ref/NegativeMultinomialDistribution.html