中国科学技术大学学报 ›› 2019, Vol. 49 ›› Issue (9): 699-703.DOI: 10.3969/j.issn.0253-2778.2019.09.002
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夏婉婉
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摘要： 根据前人文献给出的对数凹性质、TP2性质和再生性的关系, 得到了双参数复合泊松分布关于其参数的对数凹性质以及TP2性质的相关结论.
关键词: 再生性, 二阶全正性, 二阶反向正则, 似然比递增, 失效率递增, 反向失效率递减
Abstract: Log-concavity and total positivity of order 2 (TP2)properties of two-parameter compound Poisson distributions Q(x|θ,ν) with respect to x , θ and ν was studied by exploiting the interrelationships between log-concavity, TP2 and reproductive property developed by the existing literatures. One application was also presented.
Key words: reproductive property, total positivity of order 2, reverse rule of order 2, increasing likelihood ratio, increasing failure rate, decreasing reversed hazard rate
夏婉婉. 复合泊松分布的对数凹性质[J]. 中国科学技术大学学报, 2019, 49(9): 699-703.
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链接本文: http://just-cn.ustc.edu.cn/CN/10.3969/j.issn.0253-2778.2019.09.002
http://just-cn.ustc.edu.cn/CN/Y2019/V49/I9/699
