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Order k Version of the Alternative Hyper-Poisson Distribution

Author

Listed:
  • Kumar C. Satheesh

    (University of Kerala, Trivandrum -695 581, India)

  • Nair B. Unnikrishnan

    (University of Kerala, Trivandrum -695 581, India)

Abstract

In this paper we develop an order k version of the alternative hyper-Poisson distribution of Kumar and Nair (Statistica, 2012) and study some of its important properties such as its probability mass function, first moment, variance and recurrence relations for its probabilities, raw moments and factorial moments. The estimation of the parameters of this class of distribution by various methods of estimation is also considered and demonstrated with the help of a real data set.

Suggested Citation

  • Kumar C. Satheesh & Nair B. Unnikrishnan, 2013. "Order k Version of the Alternative Hyper-Poisson Distribution," Stochastics and Quality Control, De Gruyter, vol. 28(2), pages 1-8, December.
    • Handle: RePEc:bpj:ecqcon:v:28:y:2013:i:2:p:8:n:4
    DOI: 10.1515/eqc-2013-0017
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    References listed on IDEAS

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    1. Philippou, Andreas N. & Georghiou, Costas & Philippou, George N., 1983. "A generalized geometric distribution and some of its properties," Statistics & Probability Letters, Elsevier, vol. 1(4), pages 171-175, June.
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