Some Properties of the Positive Hyper-Poisson Distribution and its Applications

IF 1.6 Q1 STATISTICS & PROBABILITY Statistica Pub Date : 2020-06-25 DOI:10.6092/ISSN.1973-2201/8658
C. Kumar, Emil Ninan Abraham
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引用次数: 2

Abstract

In this paper we consider a zero-truncated form of the hyper-Poisson distribution and investigate some of its crucial properties through deriving its probability generating function, cumulative distribution function, expressions for factorial moments, mean, variance and recurrence relations for probabilities, raw moments and factorial moments. Further, the estimation of the parameters of the distribution is discussed. The distribution has been fitted to certain real life data sets to test its goodness of fit. The likelihood ratio test procedure is adopted for checking the significance of the parameters and a simulation study is performed for assessing the efficiency of the maximum likelihood estimators.
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正超泊松分布的一些性质及其应用
本文考虑了超泊松分布的一种零截断形式,并通过推导其概率生成函数、累积分布函数、阶乘矩的表达式、均值、方差以及概率、原始矩和阶乘矩的递推关系,研究了它的一些关键性质。进一步讨论了分布参数的估计问题。该分布已拟合到某些实际数据集,以检验其拟合优度。采用似然比检验程序来检验参数的显著性,并进行了模拟研究来评估最大似然估计器的效率。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Statistica
Statistica STATISTICS & PROBABILITY-
CiteScore
1.70
自引率
0.00%
发文量
0
审稿时长
10 weeks
期刊最新文献
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