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A central limit theorem for piecewise monotonic mappings of the unit interval

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Publication:598695
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DOI10.1214/aop/1176995050zbMath0413.60014OpenAlexW2054296631MaRDI QIDQ598695

Sherman Wong

Publication date: 1979

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176995050

zbMATH Keywords

invariant measurecentral limit theoremBernoulli shiftnatural extensionatoms of a partition


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Measure-preserving transformations (28D05)


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Classical and almost sure local limit theorems, Central limit asymptotics for shifts of finite type, Ergodic properties of invariant measures for piecewise monotonic transformations, Mixing Properties and Central Limit Theorem for a Class of Non-Identical Piecewise Monotonic C 2 - Transformations, An explicit Berry-Esséen bound for uniformly expanding maps on the interval, A strong pair correlation bound implies the CLT for Sinai billiards, On a Class of Transformations which have Unique Absolutely Continuous Invariant Measures, A central limit theorem for piecewise convex mappings of the unit interval, Some aspects of modern population mathematics



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