Investigation of the asymptotics of a renewal matrix
A semi-Markov process with finite state space and continuous time without finiteness
 condition of a mean stay time of this process in every fixed state is considered. The asymptotic behaviour of the renewal matrix at infinity is established under condition that the distribution tail of the stay...
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| Datum: | 2006 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2006
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/4439 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Investigation of the asymptotics of a renewal matrix / N. V. Buhrii // Theory of Stochastic Processes. — 2006. — Т. 12 (28), № 1-2. — С. 33–37. — Бібліогр.: 8 назв.— англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862715942224527360 |
|---|---|
| author | Buhrii, N.V. |
| author_facet | Buhrii, N.V. |
| citation_txt | Investigation of the asymptotics of a renewal matrix / N. V. Buhrii // Theory of Stochastic Processes. — 2006. — Т. 12 (28), № 1-2. — С. 33–37. — Бібліогр.: 8 назв.— англ. |
| collection | DSpace DC |
| description | A semi-Markov process with finite state space and continuous time without finiteness
condition of a mean stay time of this process in every fixed state is considered. The asymptotic behaviour of the renewal matrix at infinity is established under condition that the distribution tail of the stay time of the semi-Markov process in every fixed state is a regularly varying function at infinity with exponent −1.
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| first_indexed | 2025-12-07T18:01:51Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-4439 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0321-3900 |
| language | English |
| last_indexed | 2025-12-07T18:01:51Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Buhrii, N.V. 2009-11-10T14:48:56Z 2009-11-10T14:48:56Z 2006 Investigation of the asymptotics of a renewal matrix / N. V. Buhrii // Theory of Stochastic Processes. — 2006. — Т. 12 (28), № 1-2. — С. 33–37. — Бібліогр.: 8 назв.— англ. 0321-3900 https://nasplib.isofts.kiev.ua/handle/123456789/4439 519.21 A semi-Markov process with finite state space and continuous time without finiteness
 condition of a mean stay time of this process in every fixed state is considered. The asymptotic behaviour of the renewal matrix at infinity is established under condition that the distribution tail of the stay time of the semi-Markov process in every fixed state is a regularly varying function at infinity with exponent −1. en Інститут математики НАН України Investigation of the asymptotics of a renewal matrix Article published earlier |
| spellingShingle | Investigation of the asymptotics of a renewal matrix Buhrii, N.V. |
| title | Investigation of the asymptotics of a renewal matrix |
| title_full | Investigation of the asymptotics of a renewal matrix |
| title_fullStr | Investigation of the asymptotics of a renewal matrix |
| title_full_unstemmed | Investigation of the asymptotics of a renewal matrix |
| title_short | Investigation of the asymptotics of a renewal matrix |
| title_sort | investigation of the asymptotics of a renewal matrix |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/4439 |
| work_keys_str_mv | AT buhriinv investigationoftheasymptoticsofarenewalmatrix |