Almost sure central limit theorem for strictly stationary processes

DOI10.1090/S0002-9939-99-05157-6zbMath0985.37007OpenAlexW1672828818MaRDI QIDQ4955759

Emmanuel Lesigne

Publication date: 22 May 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-05157-6

zbMATH Keywords

stationary processalmost sure central limit theoremaperiodic measure preserving system

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10) Measure-preserving transformations (28D05) Dynamical systems and their relations with probability theory and stochastic processes (37A50) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (4)

On almost-sure versions of classical limit theorems for dynamical systems ⋮ Flexibility of statistical properties for smooth systems satisfying the central limit theorem ⋮ Almost sure central limit theorems for functionals of absolutely regular processes with application to \(U\)-statistics ⋮ Invariance principles and Gaussian approximation for strictly stationary processes

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