A Note on the ASCLT for Triangular Arrays of Random Variables with an Extension to U-statistics
A Note on the ASCLT for Triangular Arrays of Random Variables with an Extension to U-statistics作者机构：College of MathematicsJilin University
出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)
年 卷 期：2012年第28卷第9期
页 面：1907-1916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]
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)
主 题：Almost sure central limit theorem triangular arrays products of sums U-statistics
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.
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