Necessary and sufficient conditions for weak convergence of first-rare-event times for semi-Markov processes. II

Necessary and suffcient conditions for weak convergence of first-rareevent times for semi-Markov processes, obtained in the first part of this paper [66], are applied to counting processes generating by flows of rare events controlled by semi-Markov processes, random geometric sums, and risk proces...

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Datum:2006
Hauptverfasser: Silvestrov, D.S., Drozdenko, M.O.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2006
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/4466
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Zitieren:Necessary and sufficient conditions for weak convergence of first-rare-event times for semi-Markov processes. II / D.S. Silvestrov, M.O. Drozdenko // Theory of Stochastic Processes. — 2006. — Т. 12 (28), № 3-4. — С. 187–202. — Бібліогр.: 75 назв.— англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-4466
record_format dspace
spelling Silvestrov, D.S.
Drozdenko, M.O.
2009-11-11T15:27:37Z
2009-11-11T15:27:37Z
2006
Necessary and sufficient conditions for weak convergence of first-rare-event times for semi-Markov processes. II / D.S. Silvestrov, M.O. Drozdenko // Theory of Stochastic Processes. — 2006. — Т. 12 (28), № 3-4. — С. 187–202. — Бібліогр.: 75 назв.— англ.
0321-3900
https://nasplib.isofts.kiev.ua/handle/123456789/4466
Necessary and suffcient conditions for weak convergence of first-rareevent times for semi-Markov processes, obtained in the first part of this paper [66], are applied to counting processes generating by flows of rare events controlled by semi-Markov processes, random geometric sums, and risk processes. In particular, necessary and sufficient conditions for stable approximation of ruin probabilities including the case of diffusion approximation are given.
en
Інститут математики НАН України
Necessary and sufficient conditions for weak convergence of first-rare-event times for semi-Markov processes. II
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Necessary and sufficient conditions for weak convergence of first-rare-event times for semi-Markov processes. II
spellingShingle Necessary and sufficient conditions for weak convergence of first-rare-event times for semi-Markov processes. II
Silvestrov, D.S.
Drozdenko, M.O.
title_short Necessary and sufficient conditions for weak convergence of first-rare-event times for semi-Markov processes. II
title_full Necessary and sufficient conditions for weak convergence of first-rare-event times for semi-Markov processes. II
title_fullStr Necessary and sufficient conditions for weak convergence of first-rare-event times for semi-Markov processes. II
title_full_unstemmed Necessary and sufficient conditions for weak convergence of first-rare-event times for semi-Markov processes. II
title_sort necessary and sufficient conditions for weak convergence of first-rare-event times for semi-markov processes. ii
author Silvestrov, D.S.
Drozdenko, M.O.
author_facet Silvestrov, D.S.
Drozdenko, M.O.
publishDate 2006
language English
publisher Інститут математики НАН України
format Article
description Necessary and suffcient conditions for weak convergence of first-rareevent times for semi-Markov processes, obtained in the first part of this paper [66], are applied to counting processes generating by flows of rare events controlled by semi-Markov processes, random geometric sums, and risk processes. In particular, necessary and sufficient conditions for stable approximation of ruin probabilities including the case of diffusion approximation are given.
issn 0321-3900
url https://nasplib.isofts.kiev.ua/handle/123456789/4466
citation_txt Necessary and sufficient conditions for weak convergence of first-rare-event times for semi-Markov processes. II / D.S. Silvestrov, M.O. Drozdenko // Theory of Stochastic Processes. — 2006. — Т. 12 (28), № 3-4. — С. 187–202. — Бібліогр.: 75 назв.— англ.
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first_indexed 2025-11-27T11:05:07Z
last_indexed 2025-11-27T11:05:07Z
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