Specific formulae for some success run distributions

Anant P. Godbole

Statistics & Probability Letters, 1990, vol. 10, issue 2, 119-124

Abstract: Let N(k)n denote the number of success runs of length k ([greater-or-equal, slanted] 1) in n Bernoulli trials. A specific formula is derived for P(N(k)n = x) which is alternative to the one established by Philippou and Makri (1986) and Hirano (1986) and which is in a form suitable for the computation of asymptotic distributions (as in Godbole, 1990a, b); recall that N(k)n is said to have a binomial distribution of order k. In a similar fashion, different formulae are obtained for the geometric, negative binomial and Poisson distributions of order k (introduced by Philippou, Georghiou and Philippou, 1983.

Keywords: Bernoulli; trials; success; runs; of; length; k; discrete; distributions; of; order; k; occupancy; models (search for similar items in EconPapers)
Date: 1990
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Citations: View citations in EconPapers (6)

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