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Ordering comparison of negative binomial random variables with their mixtures

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  • Alamatsaz, Mohammad Hossein
  • Abbasi, Somayyeh

Abstract

In this paper we compare a negative binomial distribution having a fixed probability of success with a negative binomial distribution having a random probability of success. Comparisons are made with respect to various types of orderings, such as, simple stochastic ordering, likelihood ratio ordering, uniformly more variable ordering, convex ordering and expectation ordering. As a special case, the two distributions are compared when they have the same mean.

Suggested Citation

  • Alamatsaz, Mohammad Hossein & Abbasi, Somayyeh, 2008. "Ordering comparison of negative binomial random variables with their mixtures," Statistics & Probability Letters, Elsevier, vol. 78(14), pages 2234-2239, October.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:14:p:2234-2239
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    References listed on IDEAS

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    1. Misra, Neeraj & Singh, Harshinder & James Harner, E., 2003. "Stochastic comparisons of Poisson and binomial random variables with their mixtures," Statistics & Probability Letters, Elsevier, vol. 65(4), pages 279-290, December.
    2. Harshinder Singh, 1989. "On partial orderings of life distributions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(1), pages 103-110, February.
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    Cited by:

    1. Fang, Rui & Ding, Weiyong, 2018. "On relative log-concavity and stochastic comparisons," Statistics & Probability Letters, Elsevier, vol. 137(C), pages 91-98.
    2. R. A. Aliev & O. H. Huseynov & R. Serdaroglu, 2016. "Ranking of Z-Numbers and Its Application in Decision Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(06), pages 1503-1519, November.

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