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Bernoulli试验中k阶概率分布的众数

On the modes of distributions of order k in Bernoulli trials
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摘要 分别讨论了k阶负二项分布NB_k(r,p)当参数p=0.5,k=2时的众数及k阶Poisson分布P_k(λ)在参数λ和k取某些特定值时的众数.同时提出一个关于k阶二项分布B_k(n,p)众数的猜想. The modes of the negative binomial distribution of order k and the Poisson distribution of the same order are investigated for some fixed parameters. Furthermore, a conjecture on the mode of the binomial distribution of order k is offered.
作者 邵吉光 王军
出处 《北京交通大学学报》 CAS CSCD 北大核心 2017年第3期114-119,共6页 JOURNAL OF BEIJING JIAOTONG UNIVERSITY
基金 国家自然科学基金(71271026)~~
关键词 系统可靠性 k阶分布 众数 概率母函数 分布律 FIBONACCI数列 system reliability distribution of order k mode probability generating function prob-ability distribution function Fibonacci sequence
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