Theoretical Results and Applications of the Negative Hypergeometric Distribution

W.H. Moolman

Walter Sisulu University, Mthatha, South Africa.

Abstract:

The negative binomial distribution can be seen as the waiting time distribution associated with the binomial distribution. In a similar fashion the negative hypergeometric distribution can be seen as the waiting time distribution of the hypergeometric distribution. A definition and summary of the main theoretical results of this distribution will be given. Results and outputs (using R) of applications of the negative hypergeometric distribution will be shown and discussed.

Keywords: negative hypergeometric, negative binomial, approximations, moments, estimation, marketing, capture-recapture, games applications, simulation, matching.

Pages: 233 – 240 | Full PDF Paper