χ~2分布与F分布间的关系研究  

Investigation on relation between χ~2-distribution and F-distribution

作　　者：周世国[1] 齐祥来[1] 杨松华[1] 

机构地区：[1]郑州大学系统科学与数学系,河南郑州450052

出　　处：《南阳师范学院学报》2007年第3期21-23,27,共4页Journal of Nanyang Normal University

摘　　要：研究并解决了以下三个问题:关于Γ分布与Z分布间的关系,指出两个相互独立的Γ变量之商为Z变量;关于χ2分布与F分布间的关系,指出两个相互独立的χ2变量之商为F变量;关于上述两个问题的反问题.This paper has mainly investigated following three problems. The first problem is about the relation between F distribution and Z distribution. The second problem is about the relation between x^2-distribution and F- distributio. The last problem is about the contrary of two above-mentioned problems.

关 键 词：Γ分布 X^2分布 F分布 Z分布 独立性 

分 类 号：O212.7[理学—概率论与数理统计]