On the Asymptotics of the Sojourn Probability of a Poisson Process between Two Nonlinear Boundaries That Move Away from One Another
We obtain the complete asymptotic decomposition of the sojourn probability of a homogeneous Poisson process inside a domain with curvilinear boundaries. The coefficients of this decomposition are determined by the solutions of parabolic problems with one and two boundaries.
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| Datum: | 2001 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2001
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4216 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510345894821888 |
|---|---|
| author | Gasanenko, V. A. Гасаненко, В. А. Гасаненко, В. А. |
| author_facet | Gasanenko, V. A. Гасаненко, В. А. Гасаненко, В. А. |
| author_sort | Gasanenko, V. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:25:00Z |
| description | We obtain the complete asymptotic decomposition of the sojourn probability of a homogeneous Poisson process inside a domain with curvilinear boundaries. The coefficients of this decomposition are determined by the solutions of parabolic problems with one and two boundaries. |
| first_indexed | 2026-03-24T02:55:32Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4216 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:55:32Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/8b/4798bb5c9e41bc81cabb777e52f6f58b.pdf |
| spelling | umjimathkievua-article-42162020-03-18T20:25:00Z On the Asymptotics of the Sojourn Probability of a Poisson Process between Two Nonlinear Boundaries That Move Away from One Another К асимптотике вероятности пребывания пуассоновского процесса между двумя расходящимися нелинейными границами Gasanenko, V. A. Гасаненко, В. А. Гасаненко, В. А. We obtain the complete asymptotic decomposition of the sojourn probability of a homogeneous Poisson process inside a domain with curvilinear boundaries. The coefficients of this decomposition are determined by the solutions of parabolic problems with one and two boundaries. Для ймовірності невиходу однорідного луассонового процесу з області з криволінійними межами, що розширюється, одержано повний асимптотичний розклад. Коефіцієнти цього розкладу визначаються з допомогою розв'язків одно- і двомежових параболічних задач. Institute of Mathematics, NAS of Ukraine 2001-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4216 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 1 (2001); 14-22 Український математичний журнал; Том 53 № 1 (2001); 14-22 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4216/5136 https://umj.imath.kiev.ua/index.php/umj/article/view/4216/5137 Copyright (c) 2001 Gasanenko V. A. |
| spellingShingle | Gasanenko, V. A. Гасаненко, В. А. Гасаненко, В. А. On the Asymptotics of the Sojourn Probability of a Poisson Process between Two Nonlinear Boundaries That Move Away from One Another |
| title | On the Asymptotics of the Sojourn Probability of a Poisson Process between Two Nonlinear Boundaries That Move Away from One Another |
| title_alt | К асимптотике вероятности пребывания пуассоновского процесса между двумя расходящимися нелинейными границами |
| title_full | On the Asymptotics of the Sojourn Probability of a Poisson Process between Two Nonlinear Boundaries That Move Away from One Another |
| title_fullStr | On the Asymptotics of the Sojourn Probability of a Poisson Process between Two Nonlinear Boundaries That Move Away from One Another |
| title_full_unstemmed | On the Asymptotics of the Sojourn Probability of a Poisson Process between Two Nonlinear Boundaries That Move Away from One Another |
| title_short | On the Asymptotics of the Sojourn Probability of a Poisson Process between Two Nonlinear Boundaries That Move Away from One Another |
| title_sort | on the asymptotics of the sojourn probability of a poisson process between two nonlinear boundaries that move away from one another |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4216 |
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