Complete Convergence for Weighted Sums of φ-mixing Sequence  

作　　者：LIU Ting-ting WANG Xue-jun WANG Xing-hui 

机构地区：[1]Department of Finance and Economics, Hefei Economic and Trade Tourism School, Hefei 230011, China [2]Department of Statistics, Anhui University, Hefei 230601, China

出　　处：《Chinese Quarterly Journal of Mathematics》2017年第2期161-171,共11页数学季刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China（11671012, 11526033, 11501004, 11501005）; Supported by the Natural Science Foundation of Anhui Province（1608085QA02）; Supported by the Science Fund for Distinguished Young Scholars of Anhui Province（1508085J06）

摘　　要：In this paper, the complete convergence and strong law of large numbers for weighted sums of φ-mixing sequence with different distribution are investigated under some weaker moment conditions. Our results extend ones of independent sequence with identical distribution to the case of φ-mixing sequence with different distribution.In this paper, the complete convergence and strong law of large numbers for weighted sums of φ-mixing sequence with different distribution are investigated under some weaker moment conditions. Our results extend ones of independent sequence with identical distribution to the case of φ-mixing sequence with different distribution.

关 键 词：weighted sums φ-mixing sequence complete convergence strong law of large numbers 

分 类 号：O221.4[理学—运筹学与控制论]