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A Generalized Poisson Distribution |
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| Authors: | Nimai Kumar Chandra Dilip Roy Tirthankar Ghosh |
| Affiliation: | 1. Department of Statistics , University of Kalyani , Kalyani , India nimai_chandra2002@yahoo.com;3. Center for Management Studies , University of Burdwan , Burdwan , India;4. Department of Statistics , Visva-Bharati University , Santiniketan , India |
| Abstract: | Cumulative probabilities of a Poisson distribution can be written in terms of incomplete gamma function where the parameter of the gamma function is an integer. From this definition a new generalization of the Poisson distribution is obtained with two parameters. Asymptotic behavior of this distribution is shown to be normal. Some order properties of this distribution are also studied. |
| Keywords: | Discrete hazard rate Goodness of fit Incomplete gamma function Likelihood ratio order Moment generating function Poisson distribution Stochastic order |