文章基本信息

标题：On Stuttering Hyper-Poisson Distribution and its Properties
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作者：C. Satheesh Kumar ; B. Unnikrishnan Nair
期刊名称：Sri Lankan Journal of Applied Statistics
印刷版ISSN：1391-4987
电子版ISSN：2424-6271
出版年度：2013
卷号：14
期号：1
页码：41-54
DOI：10.4038/sljastats.v14i1.5876
语种：English
出版社：The Institute of Applied Statistics, Sri Lanka
摘要：Here we develop an order k version of the hyper-Poisson distribution and study some of its properties by deriving its probability mass function, mean, variance and recursion formulae for probabilities, raw moments and factorial moments. The estimation of the parameters of this class of distributions by the method of mixed moments and method of maximum likelihood is attempted and it is demonstrated with the help of a real data set that this order k version of the hyper-Poisson distribution fits the situations better than the existing model.DOI: http://dx.doi.org/10.4038/sljastats.v14i1.5876
关键词：Applied Physics;Confluent hypergeometric series; Displaced Poisson distribution; Factorial moments; Hermite distribution; Probability generating function