On hypergeometric and related distributions of order k
- 1 January 1990
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics - Theory and Methods
- Vol. 19 (4) , 1291-1301
- https://doi.org/10.1080/03610929008830262
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 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.Keywords
This publication has 3 references indexed in Scilit:
- Successes, runs and longest runsStatistics & Probability Letters, 1986
- On some distributions arising from certain generalized sampling schemesCommunications in Statistics - Theory and Methods, 1986
- A generalized geometric distribution and some of its propertiesStatistics & Probability Letters, 1983