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On the concepts of \(\alpha\)-recurrence and \(\alpha\)-transience for Markov renewal processes

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Publication:1234968
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DOI10.1016/0304-4149(77)90045-XzbMath0349.60090MaRDI QIDQ1234968

Esa Nummelin

Publication date: 1977

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



Mathematics Subject Classification ID

Markov renewal processes, semi-Markov processes (60K15)


Related Items (1)

Semi-Markov processes and \(\alpha\)-invariant distributions



Cites Work

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  • Ergodic properties of nonnegative matrices. II
  • Ergodic properties of nonnegative matrices. I
  • GEOMETRIC ERGODICITY IN DENUMERABLE MARKOV CHAINS
  • SOME ERGODIC PROPERTIES OF THE FELLER MINIMAL PROCESS
  • Limit theorems for α-recurrent semi-Markov processes
  • Periodicity in Markov renewal theory
  • The Exponential Decay of Markov Transition Probabilities
  • Ergodic and ratio limit theorems for ?-recurrent semi-Markov processes
  • Markov renewal theory


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