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Teoriya Veroyatnostei i ee Primeneniya, 1979, Volume 24, Issue 3, Pages 529–541 (Mi tvp2637)  
This article is cited in 10 scientific papers (total in 10 papers)

The invariance principle type theorems for recurrent semi-Markov processes with a general state space

E. I. Kaplan, D. S. Sil'vestrov

Kiev
Full-text PDF (863 kB) Citations (10)
Abstract: The invariance principle type theorems for processes of sums of random variables defined on a recurrent semi-Markov process with a general state space are proved. The results are obtained in assumption that for a fixed subset of state space the recurrent times have a stable limit distribution $L_\alpha$, $\alpha\in(0,1]$ (the case $\alpha=1$ corresponds to the ergodic process).
Received: 20.10.1977
English version:
Theory of Probability and its Applications, 1980, Volume 24, Issue 3, Pages 536–547
DOI: https://doi.org/10.1137/1124063
Bibliographic databases:
Language: Russian
Citation: E. I. Kaplan, D. S. Sil'vestrov, “The invariance principle type theorems for recurrent semi-Markov processes with a general state space”, Teor. Veroyatnost. i Primenen., 24:3 (1979), 529–541; Theory Probab. Appl., 24:3 (1980), 536–547
Citation in format AMSBIB
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\by E.~I.~Kaplan, D.~S.~Sil'vestrov
\paper The invariance principle type theorems for recurrent semi-Markov processes with a~general state space
\jour Teor. Veroyatnost. i Primenen.
\yr 1979
\vol 24
\issue 3
\pages 529--541
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=541365}
\zmath{https://zbmath.org/?q=an:0435.60032|0408.60031}
\transl
\jour Theory Probab. Appl.
\yr 1980
\vol 24
\issue 3
\pages 536--547
\crossref{https://doi.org/10.1137/1124063}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1979KT89400007}
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  • https://www.mathnet.ru/eng/tvp/v24/i3/p529
    • This publication is cited in the following 10 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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