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• W2951706293 abstract "For a large class of expanding maps of the interval, we prove that partial sums of Lipschitz observables satisfy an almost sure central limit theorem (ASCLT). In fact, we provide a speed of convergence in the Kantorovich metric. Maxima of partial sums are also shown to obey an ASCLT. The key-tool is an exponential inequality recently obtained. Then we derive almost-sure convergence rates for the supremum of moving averages of Lipschitz observables (Erdos-Renyi type law). We end up with an application to entropy estimation ASCLT's that refi ne Shannon-McMillan-Breiman and Ornstein-Weiss theorems." @default.
• W2951706293 created "2019-06-27" @default.
• W2951706293 creator A5058096636 @default.
• W2951706293 creator A5076376874 @default.
• W2951706293 date "2002-10-18" @default.
• W2951706293 modified "2023-09-27" @default.
• W2951706293 title "Almost Sure Central Limit Theorems and the Erdos-Renyi law for Expanding Maps of the Interval" @default.
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• W2951706293 hasPublicationYear "2002" @default.
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