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An almost sure local limit theorem for Markov chains

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Publication:1950667
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DOI10.1016/j.spl.2012.10.011zbMath1268.60038OpenAlexW2045706825MaRDI QIDQ1950667

Rita Giuliano Antonini, Zbigniew S. Szewczak

Publication date: 13 May 2013

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

Full work available at URL: https://doi.org/10.1016/j.spl.2012.10.011


zbMATH Keywords

Markov chainslocal limit theoremalmost sure limit theoremslattice distribution


Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Discrete-time Markov processes on general state spaces (60J05) Strong limit theorems (60F15)


Related Items (5)

On the functional and local limit theorems for Markov modulated compound Poisson processes ⋮ Classical and almost sure local limit theorems ⋮ A nonconventional local limit theorem ⋮ Almost sure local limit theorem for the Dickman distribution ⋮ A. de Moivre theorem revisited




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