A Note on the ASCLT for Triangular Arrays of Random Variables with an Extension to U-statistics  

作　　者：Yong ZHANG Xiao Yun YANG 

机构地区：[1]College of Mathematics,Jilin University

出　　处：《Acta Mathematica Sinica,English Series》2012年第9期1907-1916,共10页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China (Grant Nos. 10971081 and 11101180);Basic Research Foundation of Jilin University (Grant Nos. 201001002 and 201103204)

摘　　要：In this paper, we obtain an almost sure central limit theorem for products of independent sums of positive random variables. An extension of the result gives an ASCLT for the U-statistics.In this paper, we obtain an almost sure central limit theorem for products of independent sums of positive random variables. An extension of the result gives an ASCLT for the U-statistics.

关 键 词：Almost sure central limit theorem triangular arrays products of sums U-STATISTICS 

分 类 号：O211.5[理学—概率论与数理统计]