Limiting Behavior of Delayed Sums of φ-Mixing under a Non-Identical Distribution Setup  

作　　者：CHEN Ping Yan LI Feng Ling 

机构地区：[1]Department of Mathematics, Jinan University, Guangdong 510630, China [2]Department of Statistics, Jinan University, Guangdong 510630, China

出　　处：《Journal of Mathematical Research and Exposition》2008年第3期628-636,共9页数学研究与评论（英文版）

基　　金：the National Natural Science Foundation of China （No. 60574002）.

摘　　要：We present an integral test to determine the limiting behavior of delayed sums under a non-identical distribution setup for φ-mixing sequence, and deduce Chover-type laws of the iterated logarithm for them. These complement and extend the results of Vasudeva and Divanji and Chen et al.We present an integral test to determine the limiting behavior of delayed sums under a non-identical distribution setup for φ-mixing sequence, and deduce Chover-type laws of the iterated logarithm for them. These complement and extend the results of Vasudeva and Divanji and Chen et al.

关 键 词：stable distribution laws of the iterated logarithm delayed sum integral test 

分 类 号：O211.4[理学—概率论与数理统计]