江汉大学学报（自然科学版）2024，Vol.52Issue(1)：37-42,6.DOI:10.16389/j.cnki.cn42-1737/n.2024.01.004
负二项分布随机变量和尾概率的界
Tail Probability Bound of Sums of Random Variables with Negative Binomial Distribution
摘要
Abstract
This paper studied the bounds of the tail probability of the sum of independent random variables with different negative binomial distributions.Firstly,under the condition of independent random variables with different negative binomial distributions,we used the probability generation function of the negative binomial distribution and Markov inequality to obtain tail probability bounds on the sum of random variables,which was improved to obtain a more accurate bound.Secondly,we obtained some bounds for the tail probability of the sum of negative dependent random variables by adding dependence relations under the condition of obeying the negative binomial distribution.关键词
负二项分布/负相依/尾概率Key words
negative binomial distribution/negative dependence/tail probability分类
数理科学引用本文复制引用
宋欢,华志强,侯云艳..负二项分布随机变量和尾概率的界[J].江汉大学学报（自然科学版）,2024,52(1):37-42,6.基金项目
国家自然科学基金资助项目(11961053) （11961053）
内蒙古自治区直属高校基本科研业务费项目(GXKY23Z028) （GXKY23Z028）
内蒙古民族大学博士科研启动基金项目(BS459,BS468) （BS459,BS468）
内蒙古民族大学虚拟教研室建设项目(XTXN-KC202309) （XTXN-KC202309）
