On hypergeometric and related distributions of order k
Document Type
Article
Publication Date
1-1-1990
Abstract
Let Nn,k,g,d be the hypergeometric random variable of order k≥1, equal to the number of success runs of length k contained in an ordered without replacement sample of size n drawn from a dichotomous urn. with g good items and d defectives. We give an alternative formula for P(Nn,k,g,d=x) that is computationally simpler than the one in Panaretos and Xekalaki (1986). Distributions of the longest success run and of waiting times for r≥1 runs of length k are also derived. We call the latter the waiting time hypergeometric r.v. of order k. © 1990, Taylor & Francis Group, LLC. All rights reserved.
Publication Title
Communications in Statistics - Theory and Methods
Recommended Citation
Godbole, A.
(1990).
On hypergeometric and related distributions of order k.
Communications in Statistics - Theory and Methods,
19(4), 1291-1301.
http://doi.org/10.1080/03610929008830262
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/9231