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

DOI10.1016/j.spl.2007.09.063zbMath1140.60316OpenAlexW2034783777MaRDI QIDQ930074

Yong Zhang, Xiao-Yun Yang

Publication date: 19 June 2008

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2007.09.063

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items

Complete moment convergence for the linear processes with random coefficients generated by a class of random variables ⋮ A general law of moment convergence rates for uniform empirical process ⋮ On the strong approximation of the non-overlapping \(k\)-spacings process with application to the moment convergence rates ⋮ Second moment convergence rates for uniform empirical processes ⋮ Precise asymptotics on second-order complete moment convergence of uniform empirical process ⋮ Asymptotic results for hybrids of empirical and partial sums processes ⋮ On the hybrids of \(k\)-spacing empirical and partial sum processes ⋮ A general pattern of asymptotic behavior of the \(R/S\) statistics for linear processes ⋮ Asymptotic Properties of theR/SStatistics for Linear Processes ⋮ On Complete Convergence for the Hybrid Process

Cites Work

• Precise asymptotics in the Baum-Katz and Davis laws of large numbers
• Precise asymptotics in the law of the iterated logarithm.
• On the Deviations of the Empiric Distribution Function of Vector Chance Variables
• Convergence of stochastic processes
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