摘要
在本文中我们讨论了不同分布负相关随机变量加权和的强定律.在一个有限矩生成函数的条件下,一些有关负相关随机变量加权和的强定律被获得.这些结果推广了Soo HakSung[4]关于独立同分布随机变量的相应结论.我们的结果也概括了Mi Hwa Ko和Tae SungKim[7]获得的相关结论,同时使得Nili Sani H R和Bozorgnia A[9]所取得的结果更加形象.
In this paper, we discuss strong laws for weighted sums of non-identically distributed negatively orthant dependent random variables. Under a finite moment generating function, some strong laws for weighted sums are established. These results extend the corresponding results of Soo Hak Sung[4] on independent identically distributed random variables. Our results also generalize the results of Mi Hwa Ko and Tae Sung Kim[7] and sharp the corresponding results of Nili Sani H R and Bozorgnia Acgl.
出处
《应用数学》
CSCD
北大核心
2012年第2期258-264,共7页
Mathematica Applicata
基金
Supported by the National Natural Science Foundation of China(11061012)
the New Century Guangxi China Ten-hundred-thousand Talents Project(2005214)
关键词
负相关随机变量
完全收敛
几乎处处收敛
加权和
Negatively orthant dependent random variable
Complete convergence
Almost sure convergence
Weighted sum
