STRONG LAWS FOR α-MIXING SEQUENCE PROCESSES INDEXED BY SETS

作     者：XU BING 

作者机构：Department of Mathematics Ningbo Normal College Ningbo 

出 版 物：《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报（英文版）（B辑）)

年 卷 期：1995年第10卷第1期

页      面：45-48页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 

主　　题：1991 MR Subject Classification 60F15 

摘      要：Let J = {1, 2,... }d and let {X j,j ∈J} be an a-mixing sequence which isnot necessarily stationary and let S(nA) be the sum of all Xj for which j/n ∈A. It isproved in this paper that S(·) satisfies the strong law of large numbers that is uniformover A ∈A, where A is a family of subsets of [0, 1]d satisfying a mild condition.