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

C. Satheesh Kumar and B. Unnikrishnan Nair

Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 22, 6720-6731

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.

Date: 2016
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DOI: 10.1080/03610926.2014.966842

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