Multinomial

Multinomial(N, theta, I)

Returns the Multinomial Distribution.

The multinomial distribution is a generalization of the Binomial distribution to «N» possible outcomes. For example, if you were to roll a fair die «N» times, an outcome would be the number of times each of the six numbers appears. Theta would be the probability of each outcome, where Sum(theta, I) = 1, and index «I» is the list of possible outcome. If «theta» doesn't sum to 1, it is normalized.

Each sample is a vector indexed by «I» indicating the number of times the corresponding outcome (die number) occurred during that sample point. Each sample will have the property that Sum(result, I) = N.

Syntax:

Multinomial(N, theta: postiive; I: Index)

Library

Multivariate Distributions library functions (Multivariate Distributions.ana)

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See Also

• Binomial
• Sum
• Multivariate distributions
• Multivariate Distributions.ana