期刊论文

Strong limit theorems of functional for the sequence of arbitrary discrete random variables

中文

贵州师范大学学报(自然科学版)

1004-5570

2002

20

1

61-64

10.3969/j.issn.1004-5570.2002.01.016

国家自然科学基金资助课程 （批准号 10 0 710 19）； 湖南省教委科研基金资助课题；

本校为第一机构

当{Xn,n≥0}是离散值随机变量序列时,建立了关于泛函{fn(X0,X1…,Xn),n≥1}的强极限定理,作为推论,得出了关于任意随机变量序列及m重非齐次马氏链的随机选择的强极限定理,它是关于(单重)非齐次马氏链的随机选择的强极限定理的推广

We study the strong limit theorems of functional {f n(X 0,X 1,...,X n), n≥1} for the sequence of arbitrary discrete random variables {X n,n≥0}.As corollaries,a class of strong limit theorems on random selection for the sequence of arbitrary discrete random variables or mth-order Nonhomogenous Markov chain are obtained.Our results have generalized the strong limit theorems on random selec...