F分布和χ~2分布之间的渐近关系与性质  

The Asymptotical Properties between Distribution and Distribution

作　　者：陈莺[1] 庄玉明[2] 

机构地区：[1]江苏警官学院科技系,南京210012 [2]淮阴工学院计算科学系,江苏淮安223003

出　　处：《淮阴工学院学报》2007年第3期12-15,18,共5页Journal of Huaiyin Institute of Technology

摘　　要：我们分别基于F分布和X2分布的密度函数和随机变量的大样本性质证明了YLX/n(m→∞),其中Y服从自由度为(n,m)的F分布,X服从自由度为n的2χ分布;并进一步阐述了两者之间的渐近性质.我们通过模拟绘图以及分别计算密度函数、分布函数的误差绝对值和来进一步证实我们的结论。In this paper, the conclusion Y→^L X/n（m→∞）, that follows distribution with freedom degree and follows distribution with freedom degree , is proved in two ways. One is by density functions, and the other by large sample properties of random variables. Also, some properties of this asymptotical relation are expatiated. Finally, our conclusions are further confirmed by picturing the density functions and computing respectively the absolute errors of the two density functions and cumulative functions.

关 键 词：F分布 Х^2分布 依分布收敛 收敛速度 

分 类 号：O211.3[理学—概率论与数理统计]