The central limit theorem and ergodicity

DOI10.1016/j.spl.2010.03.014zbMath1195.54067OpenAlexW2011584604MaRDI QIDQ984007

Yi Wang, Yingxuan Niu

Publication date: 13 July 2010

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

Full work available at URL: https://doi.org/10.1016/j.spl.2010.03.014

zbMATH Keywords

the central limit theoremtopologically ergodicE-systemtopologically strongly ergodic

Mathematics Subject Classification ID

Related Items (5)

Characterizing ergodicity of induced hyperspace dynamical systems ⋮ On the Large Deviations Theorem of Weaker Types ⋮ Central limit theorem and chaoticity ⋮ On the Iteration Properties of Large Deviations Theorem ⋮ Kernel estimations for multivariate density functional with bootstrap

Cites Work

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• The large deviations theorem and sensitivity
• The central limit theorem and chaos
• Decay of correlation implies chaos in the sense of Devaney
• Stochastic properties in Devaney's chaos
• The large deviations theorem and ergodicity
• Locally equicontinuous dynamical systems
• Chaotic dynamics of an integrate-and-fire circuit with periodic pulse-train input

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