On the use of Lyapunov methods in renewal theory

DOI10.1016/S0304-4149(98)00068-4zbMath0961.60086MaRDI QIDQ1593592

Takis Konstantopoulos, Günter Last

Publication date: 17 January 2001

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

rates of convergenceMarkov renewal theory

Mathematics Subject Classification ID

Markov renewal processes, semi-Markov processes (60K15) Renewal theory (60K05)

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Cites Work

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• Markov chains and stochastic stability
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• Exponential and uniform ergodicity of Markov processes
• Stability of Markovian processes II: continuous-time processes and sampled chains
• Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes
• Uniform limit theorems for non-singular renewal and Markov renewal processes
• Subgeometric Rates of Convergence of f-Ergodic Markov Chains

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