负二项分布概率最大值的性质  

The Characters of the Probability Maximum Value for Negative Binomial Distribution

作　　者：丁勇[1] 

机构地区：[1]南京医科大学康达学院数学与计算机教研室,江苏连云港222000

出　　处：《郑州大学学报（理学版）》2016年第3期47-50,56,共5页Journal of Zhengzhou University:Natural Science Edition

摘　　要：负二项分布概率的最大值是每次试验成功的概率p和首次试验成功次数r的函数.对确定的r,该函数是p的单调上升的连续函数,仅当(r-1)/p是整数时不可导;对确定的p,该函数是r的单调下降函数.The character of probability maximum value for negative binomial distribution was explored. The probability maximum value for negative binomial distribution was a function of p and r, where p was the probability of success for each test, and r was the number of the first successful test. It was a mono-tonically increasing continuous function of p when r was given,only （r-1）/p was a integer, its derivative did not exist, and a monotone decreasing function of r when p was given.

关 键 词：负二项分布 概率最大值 单调性 

分 类 号：O211.1[理学—概率论与数理统计]