On the generalization of negative binomial distribution

Z. Shishebor and M. Towhidi

Statistics & Probability Letters, 2004, vol. 66, issue 2, 127-133

Abstract: In this paper we study the distribution of the number of trials required to obtain r successes in a sequence of Bernoulli trials. We consider the conditions under which the above distribution is a negative binomial distribution. In fact, we show that the negative binomial distribution can be derived from dependent Bernoulli random variables. Finally, we consider a certain model in a generalized negative binomial distribution and obtain the expected value of the number of trials required.

Keywords: Dependent; trials; Binomial; distribution; Negative; binomial; distribution; Generalized; negative; binomial; distribution (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (3)

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