PA序列的Hájek-Rényi型不等式及强大数定律(英文)  

Hájek-Rényi-Type Inequality and Strong Law of Large Numbers for Associated Sequences

作　　者：冯德成 王晓艳 高玉峰 FENG DeCheng;WANG XiaoYan;GAO YuFeng(College of Mathematics and Statistics,Northwest Normal University,Lanzhou,730070,China)

机构地区：[1]西北师范大学数学与统计学院,兰州730070

出　　处：《应用概率统计》2018年第2期169-176,共8页Chinese Journal of Applied Probability and Statistics

基　　金：supported by the National Natural Science Foundation of China(Grant No.11061032);the Professional Competence Enhancement Research Project for Young Teachers of Northwest Normal University(Grant No.NWNU-LKQN-11-2)

摘　　要：本文给出了零均值PA序列的一个新的Hájek-Rényi型不等式,该不等式推广了文献[9]中的结果.此外,本文还得到了零均值PA序列的一个Brunk-Prokhorov型强大数定律.In this paper,a new Hájek-Rényi-type inequality for mean zero associated random variables is obtained,which generalizes and improves the result of Theorem 2.2 of[9].In addition,a Brunk-Prokhorov-type strong law of large numbers is also given.

关 键 词：相协随机变量 弱鞅 Hájek-Rényi型不等式 强大数定律 

分 类 号：O212.1[理学—概率论与数理统计]