Precise asymptotics in the law of the iterated logarithm and the complete convergence for uniform empirical process

Yong Zhang and Xiao-Yun Yang

Statistics & Probability Letters, 2008, vol. 78, issue 9, 1051-1055

Abstract: Let {[xi]1,[xi]2,...,[xi]n} be a sequence of independent and identically distributed U[0,1]-distributed random variables. Define the uniform empirical process . For 1 =[epsilon]n1/p-1/2}, and as [epsilon]-->0.

Date: 2008
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