文章基本信息

标题：A three parameter hyper-Poisson distribution and some of its properties
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作者：C. Satheesh Kumar ; B. Unnikrishnan Nair
期刊名称：Statistica
印刷版ISSN：1973-2201
出版年度：2014
卷号：74
期号：2
页码：183-198
DOI：10.6092/issn.1973-2201/5000
语种：English
出版社：Dep. of Statistical Sciences "Paolo Fortunati", Università di Bologna
摘要：A new class of distribution is introduced here as a generalization of the well-known hyper-Poisson distribution of Bardwell and Crow (J. Amer. Statist. Associ., 1964) and alternative hyper-Poisson distribution of Kumar and Nair (Statistica, 2012), and derive 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. Further, a test procedure is suggested for testing the significance of the additional parameter and a simulation study is carried out for comparing the performance of the estimators.
关键词：Confluent hypergeometric series;Displaced Poisson distribution