On Eagleson's theorem in the non‐stationary setup

DOI10.1112/blms.12477zbMath1480.37011arXiv2004.09333OpenAlexW3134829226MaRDI QIDQ5153915

Yeor Hafouta

Publication date: 1 October 2021

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.09333

zbMATH Keywords

non-stationary stochastic processesEagleson's theoremnormalized Birkhoff sums

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems and their relations with probability theory and stochastic processes (37A50)

Related Items (1)

Limit theorems for random non-uniformly expanding or hyperbolic maps with exponential tails

Cites Work

• Unnamed Item
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• Smooth approximation of stochastic differential equations
• Berry-Esseen type estimates for nonconventional sums
• Distance expanding random mappings, thermodynamical formalism, Gibbs measures and fractal geometry
• A martingale proof of Dobrushin's theorem for non-homogeneous Markov chains
• Recurrence times and rates of mixing
• Mixing: Properties and examples
• A spectral approach for quenched limit theorems for random expanding dynamical systems
• Exponential decay of correlations for random Lasota-Yorke maps
• Local stationarity and time-inhomogeneous Markov chains
• Mixing limit theorems for ergodic transformations
• Some Simple Conditions for Limit Theorems to Be Mixing
• Limit theorems for random transformations and processes in random environments
• Almost sure rates of mixing for i.i.d. unimodal maps
• Almost sure invariance principle for random piecewise expanding maps
• Parameter Stability and Semiparametric Inference in Time Varying Auto-Regressive Conditional Heteroscedasticity Models
• Nonconventional Limit Theorems and Random Dynamics
• RANDOM PROCESSES GENERATED BY A HYPERBOLIC SEQUENCE OF MAPPINGS. I
• Absolute regularity of semi-contractive GARCH-type processes
• Variations around Eagleson’s theorem on mixing limit theorems for dynamical systems
• Limit theorems for some time-dependent expanding dynamical systems
• A spectral approach for quenched limit theorems for random hyperbolic dynamical systems
• Probability Inequalities
• Local Limit Theorems for Inhomogeneous Markov Chains

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