摘要
定义了k维几何分布和k参数几何分布并获得它们的分布律、期望、方差和众数等.研究了基于成功游程的k阶几何分布的分布律和众数.导出k阶Poisson分布和k维Poisson分布,并分别讨论了它们的分布律和众数等概率统计特性.
The paper presents the definitions of k- dimensional and k- parameter geometric distribution,obtains their probability distributions,means,variances and modes. The probability distribution and mode of the geometric distribution of order k based on success runs are also studied. The paper also derives the Poisson distribution of order k and k-dimensional Poisson distribution respectively. Furthermore,their probability and statistics properties including modes are investigated.
出处
《北京交通大学学报》
CAS
CSCD
北大核心
2015年第3期122-128,共7页
JOURNAL OF BEIJING JIAOTONG UNIVERSITY
基金
北京市教育委员会科技计划项目资助(KM2014100150012)
中央高校基本科研业务费专项资金资助项目(S11JB00400)
关键词
多维几何分布
多维Poisson分布
众数
独立试验
母函数
游程
multidimensional geometric distribution
multidimensional Poisson distribution
mode
independent trials
generating function
success run
