Functional law of the iterated logarithm for fields and its applications
For a Wiener field with an arbitrary finite number of parameters, we construct the law of the iterated logarithm in the functional form. We consider the problem for random fields of a certain type to reside within curvilinear boundaries without assuming that the Cairoli—Walsh condition is satisfied....
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| Datum: | 1997 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1997
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5078 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511272723808256 |
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| author | Bondarev, B. V. Zhirnyi, G. G. Бондарев, Б. В. Жирный, Г. Г. Бондарев, Б. В. Жирный, Г. Г. |
| author_facet | Bondarev, B. V. Zhirnyi, G. G. Бондарев, Б. В. Жирный, Г. Г. Бондарев, Б. В. Жирный, Г. Г. |
| author_sort | Bondarev, B. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:24:22Z |
| description | For a Wiener field with an arbitrary finite number of parameters, we construct the law of the iterated logarithm in the functional form. We consider the problem for random fields of a certain type to reside within curvilinear boundaries without assuming that the Cairoli—Walsh condition is satisfied. |
| first_indexed | 2026-03-24T03:10:16Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5078 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:10:16Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/47/867d8d5863dacd60eef70b522fd01047.pdf |
| spelling | umjimathkievua-article-50782020-03-18T21:24:22Z Functional law of the iterated logarithm for fields and its applications Функциональный закон повторного логарифма для полей и его применения Bondarev, B. V. Zhirnyi, G. G. Бондарев, Б. В. Жирный, Г. Г. Бондарев, Б. В. Жирный, Г. Г. For a Wiener field with an arbitrary finite number of parameters, we construct the law of the iterated logarithm in the functional form. We consider the problem for random fields of a certain type to reside within curvilinear boundaries without assuming that the Cairoli—Walsh condition is satisfied. Для вінерівського поля з довільним скінченним числом параметрів побудовано закон повторного логарифма у функціональному вигляді. Розглянуто задачу про перебування випадкових полів одного типу в криволінійних межах. Виконання умови Каіролі-Уолша не вимагається. Institute of Mathematics, NAS of Ukraine 1997-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5078 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 7 (1997); 883–894 Український математичний журнал; Том 49 № 7 (1997); 883–894 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5078/6853 https://umj.imath.kiev.ua/index.php/umj/article/view/5078/6854 Copyright (c) 1997 Bondarev B. V.; Zhirnyi G. G. |
| spellingShingle | Bondarev, B. V. Zhirnyi, G. G. Бондарев, Б. В. Жирный, Г. Г. Бондарев, Б. В. Жирный, Г. Г. Functional law of the iterated logarithm for fields and its applications |
| title | Functional law of the iterated logarithm for fields and its applications |
| title_alt | Функциональный закон повторного логарифма для полей и его применения |
| title_full | Functional law of the iterated logarithm for fields and its applications |
| title_fullStr | Functional law of the iterated logarithm for fields and its applications |
| title_full_unstemmed | Functional law of the iterated logarithm for fields and its applications |
| title_short | Functional law of the iterated logarithm for fields and its applications |
| title_sort | functional law of the iterated logarithm for fields and its applications |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5078 |
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