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On generalized hyper-Poisson distribution of order k and its application

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  • C. Satheesh Kumar
  • B. Unnikrishnan Nair

Abstract

Here we introduce a new class of distributions namely the generalized hyper-Poisson distribution of order k (GHPD(k)) as an order k version of the alpha-generalized hyper-Poisson distribution of Kumar and Nair (Statistica, 2014b). Several properties of the GHPD(k) are derived and the estimation of the parameters of the distribution by the method of mixed moments and the method of maximum likelihood is discussed. Certain testing procedures are suggested and all these estimation and testing procedures are illustrated with the help of a real-life data set. Further a simulation study is conducted.

Suggested Citation

  • C. Satheesh Kumar & B. Unnikrishnan Nair, 2016. "On generalized hyper-Poisson distribution of order k and its application," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(22), pages 6720-6731, November.
    • Handle: RePEc:taf:lstaxx:v:45:y:2016:i:22:p:6720-6731
    DOI: 10.1080/03610926.2014.966842
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