On extension of the limit theorem of renewal theory and its application

An extension of the limit theorem of renewal theory on the case of semi-Markov process with an atom of the stationary distribution of the embedded Markov chain is obtained in this paper. The obtained result is used for finding an analytic solution of a reliability problem for a system with protection...

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Datum:2006
1. Verfasser: Bondarenko, A.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2006
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/4453
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:On extension of the limit theorem of renewal theory and its application / A. Bondarenko // Theory of Stochastic Processes. — 2006. — Т. 12 (28), № 3-4. — С. 12–19. — Бібліогр.: 6 назв.— англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Zusammenfassung:An extension of the limit theorem of renewal theory on the case of semi-Markov process with an atom of the stationary distribution of the embedded Markov chain is obtained in this paper. The obtained result is used for finding an analytic solution of a reliability problem for a system with protection.