Studentized Increments of Partial Sums  

作　　者：CsorgoMiklos 林正炎 邵启满 

机构地区：[1]Carleton University,Ottawa kIS 5B6,Canada [2]Department of Mathematics,Hangzhou'University hang zhou 31000,PRC

出　　处：《Science China Mathematics》1994年第3期265-276,共12页中国科学：数学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China;an NSERC Canada grant of M.Csorgo at Carletoa University of Canada;the Fok Yingtung Education Foundation;an NSERC Canada Scientific Exchange Award at Carleton University

摘　　要：Using suitable self-normalization for partial sums of i.i.d.random variables,Griffin and Kuelbs established the law of the iterated logarithm for all distributions in the domain of attraction of a normal law.We obtain the corresponding results for Studentized increments of partial sums under thesame condition.Using suitable self-normalization for partial sums of i.i.d.random variables,Griffin and Kuelbs established the law of the iterated logarithm for all distributions in the domain of attraction of a normal law.We obtain the corresponding results for Studentized increments of partial sums under thesame condition.

关 键 词：increments of partial sums SELF-NORMALIZATION domain of attraction of a normal law 

分 类 号：O211.5[理学—概率论与数理统计]