The uniform central limit theorem for the tent map

DOI10.1016/j.spl.2012.02.003zbMath1251.60026OpenAlexW2054116020MaRDI QIDQ433602

Changha Hwang, Doobae Jun, Jongsig Bae

Publication date: 5 July 2012

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

Full work available at URL: https://doi.org/10.1016/j.spl.2012.02.003

zbMATH Keywords

uniform central limit theoremtent map

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Functional limit theorems; invariance principles (60F17)

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Cites Work

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• The uniform laws of large numbers for the tent map
• A central limit theorem under metric entropy with \(L_ 2\) bracketing
• Functional central limit theorems for triangular arrays of function-indexed processes under uniformly integrable entropy conditions
• Weak convergence and empirical processes. With applications to statistics
• THE UNIFORM CLT FOR MARTINGALE DIFFERENCE ARRAYS UNDER THE UNIFORMLY INTEGRABLE ENTROPY
• Convergence of stochastic processes