Limit theorems for semi-Markov processes

DOI10.1017/S0004972700008741zbMath0392.60068MaRDI QIDQ4174046

Peter Ney, Krishna B. Athreya

Publication date: 1978

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Markov ChainLimit TheoremsSemimarkov ProcessesRegeneration MethodsRenewal TheoremsSojourn Time Distributions

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Markov renewal processes, semi-Markov processes (60K15)

Related Items (6)

Large deviations of uniformly recurrent Markov additive processes ⋮ On non-singular renewal kernels with an application to a semigroup of transition kernels ⋮ The coupling of renewal processes and its applications ⋮ Superposed continuous renewal processes: A Markov renewal approach ⋮ Fluctuation theory for Markov random walks ⋮ On the Markov renewal theorem

Cites Work

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• Renewal theory for functionals of a Markov chain with general state space
• Limit theorems for semi-Markov processes and renewal theory for Markov chains
• A splitting technique for Harris recurrent Markov chains
• Uniform limit theorems for non-singular renewal and Markov renewal processes

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