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Large-Deviation Probabilities for One-Dimensional Markov ChainsPart 1: Stationary Distributions

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Publication:4350380
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DOI10.1137/TPRBAU000041000001000001000001zbMath0888.60025MaRDI QIDQ4350380

Aleksandr A. Borovkov, Dmitrii Korshunov

Publication date: 30 September 1997

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: http://epubs.siam.org/sam-bin/dbq/article/97500


zbMATH Keywords

invariant measureMarkov chainrough and exact asymptotic behavior of large-deviation probabilities


Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Large deviations (60F10)


Related Items (4)

The second rate function and the asymptotic problems of renewal and hitting the boundary for multidimensional random walks ⋮ Banach algebras of measures on the real line with a given asymptotics of distributions at infinity ⋮ Heavy-tailed asymptotics of stationary probability vectors of Markov chains of gi/g/1 type ⋮ Markov chains on \({{\mathbb{Z}}^+}\): analysis of stationary measure via harmonic functions approach




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