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Teoriya Veroyatnostei i ee Primeneniya, 1976, Volume 21, Issue 3, Pages 497–511 (Mi tvp3395)  

This article is cited in 8 scientific papers (total in 8 papers)

On the convergence of semi-Markov walks to a continuous semi-Markov process

B. P. Harlamov

Leningrad
Full-text PDF (861 kB) Citations (8)
Abstract: A sufficient condition of weak convergence of probability measures on the space $D[0,\infty)$ in terms of hitting probabilities is obtained. This condition is applied to prove the convergence of semi-Markov walks to a continuous semi-Markov process.
Received: 03.12.1974
English version:
Theory of Probability and its Applications, 1977, Volume 21, Issue 3, Pages 482–498
DOI: https://doi.org/10.1137/1121061
Bibliographic databases:
Language: Russian
Citation: B. P. Harlamov, “On the convergence of semi-Markov walks to a continuous semi-Markov process”, Teor. Veroyatnost. i Primenen., 21:3 (1976), 497–511; Theory Probab. Appl., 21:3 (1977), 482–498
Citation in format AMSBIB
\Bibitem{Har76}
\by B.~P.~Harlamov
\paper On the convergence of semi-Markov walks to a~continuous semi-Markov process
\jour Teor. Veroyatnost. i Primenen.
\yr 1976
\vol 21
\issue 3
\pages 497--511
\mathnet{http://mi.mathnet.ru/tvp3395}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=433627}
\zmath{https://zbmath.org/?q=an:0366.60110}
\transl
\jour Theory Probab. Appl.
\yr 1977
\vol 21
\issue 3
\pages 482--498
\crossref{https://doi.org/10.1137/1121061}
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  • https://www.mathnet.ru/eng/tvp/v21/i3/p497
  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теория вероятностей и ее применения Theory of Probability and its Applications
     
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