Negative Binomial Distribution

Authored by: K. Krishnamoorthy

Handbook of Statistical Distributions with Applications

Print publication date:  October  2015
Online publication date:  January  2016

Print ISBN: 9781498741491
eBook ISBN: 9781498741507
Adobe ISBN:


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Consider a sequence of independent Bernoulli trials with success probability p. The distribution of the random variable that represents the number of failures until the first success is called geometric distribution. Now, let X denote the number of failures until the rth success. The random variable X is called the negative binomial random variable with parameters p and r, and its probability mass function is given by

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