Title
Specific formulae for some success run distributions
Document Type
Article
Publication Date
1-1-1990
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. © 1990.
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