Negative Binomial Distribution

Functions > Statistics > Probability Distributions > Negative Binomial Distribution

Negative Binomial Distribution

The following functions are associated with the negative binomial equation of size n:

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• dnbinom(k, n, q)—Returns the probability density for value k.

• pnbinom(k, n, q)—Returns the cumulative probability distribution for value k.

• qnbinom(p, n, q)—Returns the inverse cumulative probability distribution for probability p.

• rnbinom(m, n, p)—Returns a vector of m random numbers having the negative binomial distribution.

Arguments

• n, k are integers, n > 0 and k ≥ 0. To allow integration and other operations over these arguments, values outside of the stated range are allowed, but they produce a 0 result.

• q is a real probability, 0 < q ≤ 1.

• p is a real probability, 0 ≤ p ≤ 1.

• m is an integer, m > 0.