Analysis of discrete data by Conway–Maxwell Poisson distribution

Analysis of discrete data by Conway–Maxwell Poisson distribution
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通过康威-麦克斯韦泊松分布分析离散数据

DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
S. H. Ong
S. H. Ong
中科院分区：
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文献类型：
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作者：
Ramesh C. Gupta;S. Sim;S. H. Ong

文献摘要

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本文进一步研究了比Poisson分布多一个参数的Conway-Maxwell Poisson分布，并在可靠性理论中使用的一些随机序下将其与Poisson分布进行了比较。似然比检验和得分检验被用来检验这个附加参数的重要性。仿真研究进行了检查的性能的两个测试。两个例子，一个显示过度分散和其他显示欠分散，以说明该程序。结果表明，COM-Poisson模型比广义Poisson分布拟合得更好。
In this paper, we further study the Conway–Maxwell Poisson distribution having one more parameter than the Poisson distribution and compare it with the Poisson distribution with respect to some stochastic orderings used in reliability theory. Likelihood ratio test and the score test are developed to test the importance of this additional parameter. Simulation studies are carried out to examine the performance of the two tests. Two examples are presented, one showing overdispersion and the other showing underdispersion, to illustrate the procedure. It is shown that the COM-Poisson model fits better than the generalized Poisson distribution.