Specific formulae for some success run distributions
Document Type
Article
Publication Date
7-1990
Department
Department of Mathematical Sciences
Abstract
Let N(k)n denote the number of success runs of length k (≥ 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.
Publication Title
Statistics and Probability Letters
Recommended Citation
Godbole, A.
(1990).
Specific formulae for some success run distributions.
Statistics and Probability Letters,
10(2), 119-124.
http://doi.org/10.1016/0167-7152(90)90006-S
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/5603
