On non-singular renewal kernels with an application to a semigroup of transition kernels

DOI10.1016/0304-4149(86)90001-3zbMath0606.60080OpenAlexW2083585142MaRDI QIDQ1084768

S. Niemi, Esa Nummelin

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0304-4149(86)90001-3

zbMATH Keywords

transition kernelsrenewal measurecontinuous parameter transition semigroupsimbedded renewal measurerenewal kernels

Mathematics Subject Classification ID

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

Related Items (12)

Spectral theory and limit theorems for geometrically ergodic Markov processes ⋮ Extinction properties of multi-type continuous-state branching processes ⋮ Large deviations of uniformly recurrent Markov additive processes ⋮ The Markov structure of population growth ⋮ General branching processes as Markov fields ⋮ Practical criteria for \(R\)-positive recurrence of unbounded semigroups ⋮ A probabilistic approach to spectral analysis of growth-fragmentation equations ⋮ Efficient likelihood estimation in state space models ⋮ Markov renewal theory for stationary \((m + 1)\)-block factors: convergence rate results. ⋮ Asymptotic operating characteristics of an optimal change point detection in hidden Markov models ⋮ Quasistochastic matrices and Markov renewal theory ⋮ Two-sided Lundberg inequalities in a Markovian environment

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