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

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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

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\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}

Linking options:

https://www.mathnet.ru/eng/tvp3395

https://www.mathnet.ru/eng/tvp/v21/i3/p497

This publication is cited in the following 8 articles:

Introduction to Stochastic Models, 2010, 343
Boris P. Harlamov, Semi-Markov Models and Applications, 1999, 367
V. A. Romanov, “Conditional functional limit theorems for a randomized walk”, Theory Probab. Appl., 31:4 (1987), 726–729
Jozef L. Teugels, Semi-Markov Models, 1986, 507
B. P. Harlamov, “A criterion of the Markov property for continuous semi-Markov processes”, Theory Probab. Appl., 25:3 (1980), 526–539
R.V Chacon, Benton Jamison, “Processes with state-dependent hitting probabilities and their equivalence under time changes”, Advances in Mathematics, 32:1 (1979), 1
“Summary of Reports Presented at Sessions of The Probability and Statistics Seminar at the Leningrad Section of The Mathematical Institute of the USSR Academy of Sciences, 1977”, Theory Probab. Appl., 23:4 (1979), 829–840
“Summary of reports presented at sessions of the probability and statistics seminar in the Leningrad section of the Mathematical Institute of the USSR Academy of Sciences, 1976”, Theory Probab. Appl., 22:3 (1978), 635–646

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Theory of Probability and its Applications

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