摘要
设{X_n,n≥1}是混合序列,利用随机变量的截尾方法和混合序列的三级数定理这一工具研究了混合序列的性质.得到了矩条件下混合序列的一类强极限定理和强大数定律.并给出了一些简单应用,推广了若干经典的强大数定律.
Let {Xn,n≥1} be a ρ^mixing random variable sequence. By using tile truncation methods of random variables and there series theorem of ρ^-mixing sequence, the properties of ρ^-mixing sequence are discussed, a class of strong limit theorems and strong laws of large numbers for ρ^-mLxing sequence are.. obtained, and sonm simple, applications are given, which gencralizes some classical strong laws of large numbers.
出处
《数学研究》
CSCD
2008年第1期91-96,共6页
Journal of Mathematical Study
基金
国家自然科学基金(10571001)
安徽大学创新团队基金资助课题
关键词
强大致定律
ρ^-混合序列
三级数定理
截尾
Strong law of large numbers
ρ^-mixing scquence
Three series theorem
Truncation
