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Matematicheskie Zametki, 1975, Volume 18, Issue 4, Pages 621–631 (Mi mzm9977)  
Additive functionals of regular semi-Markov processes

A. P. Cherenkov

Moscow Engineering Physics Institute
Full-text PDF (1005 kB)
Abstract: The behavior of the mean values of additive functionals of regular semi-Markov processes with arbitrary (not necessarily finite or countable) sets of states is studied. An integral representation of the mean value of an additive functional is obtained. The behavior of certain operators connected with the process is investigated. As as illustration of the possible applications of the results obtained here we formulate and prove a limit theorem for a semi-Markov process. See [7].
Received: 01.04.1974
English version:
Mathematical Notes, 1975, Volume 18, Issue 4, Pages 957–963
DOI: https://doi.org/10.1007/BF01153052
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: A. P. Cherenkov, “Additive functionals of regular semi-Markov processes”, Mat. Zametki, 18:4 (1975), 621–631; Math. Notes, 18:4 (1975), 957–963
Citation in format AMSBIB
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\by A.~P.~Cherenkov
\paper Additive functionals of regular semi-Markov processes
\jour Mat. Zametki
\yr 1975
\vol 18
\issue 4
\pages 621--631
\mathnet{http://mi.mathnet.ru/mzm9977}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=394924}
\zmath{https://zbmath.org/?q=an:0361.60079}
\transl
\jour Math. Notes
\yr 1975
\vol 18
\issue 4
\pages 957--963
\crossref{https://doi.org/10.1007/BF01153052}
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