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Zapiski Nauchnykh Seminarov LOMI, 1985, Volume 142, Pages 167–173 (Mi znsl4331)  
Distribution of traversal time relative to sequences of states in a semi-Markov process

B. P. Harlamov
Full-text PDF (440 kB)
Abstract: One considers a semi-Markov process with trajectories from the space $\mathscr D$. One derives a formula for the conditional generating function of the traversal time relative to a sequence of states, similar to Levy's formula for a monotone process with independent increments.
English version:
Journal of Soviet Mathematics, 1987, Volume 36, Issue 4, Pages 551–556
DOI: https://doi.org/10.1007/BF01663471
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: B. P. Harlamov, “Distribution of traversal time relative to sequences of states in a semi-Markov process”, Problems of the theory of probability distributions. Part IX, Zap. Nauchn. Sem. LOMI, 142, "Nauka", Leningrad. Otdel., Leningrad, 1985, 167–173; J. Soviet Math., 36:4 (1987), 551–556
Citation in format AMSBIB
\Bibitem{Har85}
\by B.~P.~Harlamov
\paper Distribution of traversal time relative to sequences of states in a~semi-Markov process
\inbook Problems of the theory of probability distributions. Part~IX
\serial Zap. Nauchn. Sem. LOMI
\yr 1985
\vol 142
\pages 167--173
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4331}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=788201}
\zmath{https://zbmath.org/?q=an:0568.60081}
\transl
\jour J. Soviet Math.
\yr 1987
\vol 36
\issue 4
\pages 551--556
\crossref{https://doi.org/10.1007/BF01663471}
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