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An alternative hyper-Poisson distribution

Author

Listed:
  • C. SATHEESH KUMAR

    (Department of Statistics - University of Kerala - India)

  • B. UNNIKRISHNAN NAIR B. UNNIKRISHNAN NAIR

    (Department of Statistics - University of Kerala - India)

Abstract

An alternative form of hyper-Poisson distribution is introduced through its probability mass function and studies some of its important aspects such as mean, variance, expressions for its raw moments, factorial moments, probability generating function and recursion formulae for its probabilities, raw moments and factorial moments. The estimation of the parameters of the distribution by various methods are considered and illustrated using some real life data sets.

Suggested Citation

  • C. Satheesh Kumar & B. Unnikrishnan Nair B. Unnikrishnan Nair, 2012. "An alternative hyper-Poisson distribution," Statistica, Department of Statistics, University of Bologna, vol. 72(3), pages 357-369.
    • Handle: RePEc:bot:rivsta:v:72:y:2012:i:3:p:357-369
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    Cited by:

    1. Subrata Chakraborty & S. H. Ong, 2017. "Mittag - Leffler function distribution - a new generalization of hyper-Poisson distribution," Journal of Statistical Distributions and Applications, Springer, vol. 4(1), pages 1-17, December.

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