On the Markov renewal theorem
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Publication:1318330
DOI10.1016/0304-4149(94)90146-5zbMath0789.60066OpenAlexW1980761366MaRDI QIDQ1318330
Publication date: 6 June 1994
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0304-4149(94)90146-5
couplingsemi-Markov processMarkov renewal theoryHarris recurrencerenewal measureBlackwell's renewal theorem
Sums of independent random variables; random walks (60G50) Discrete-time Markov processes on general state spaces (60J05) Markov renewal processes, semi-Markov processes (60K15) Renewal theory (60K05)
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Cites Work
- Unnamed Item
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- Renewal theorem for a class of stationary sequences
- Construction of a stationary regenerative process
- 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 note on random times
- On the Theory of Markov Renewal
- Change of Time Scale For Markov Processes
- A splitting technique for Harris recurrent Markov chains
- Limit theorems for semi-Markov processes
- A New Approach to the Limit Theory of Recurrent Markov Chains