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Precise rates in the law of logarithm for the moment convergence of i.i.d. random variables
Authors:Jiang Ye
Affiliation:a College of Business and Administration, Zhejiang University of Technology, Hangzhou 310014, China
b Department of Mathematics, Zhejiang University, Hangzhou 310028, China
c School of Computer and Computing Science, Zhejiang University City College, Hangzhou 310015, China
Abstract:Let View the MathML source be a sequence of i.i.d. random variables with EX=0 and EX2=σ2<∞. Set View the MathML source, Mn=maxk?n|Sk|, n?1. Let r>1, then we obtain
View the MathML source
Keywords:The law of logarithm   Precise asymptotics   Moment   i.i.d. random variables
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