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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| Date: | 2006 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2006
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| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/4453 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| Summary: | 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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