Distribution of the supremum of random processes from quasi-Banach $K_{σ}$-spaces
We study random processes from quasi-Banach $K_{σ}$-spaces of random variables whose domain of definition is not necessarily a compact set. We establish conditions under which the supremum of a properly normalized process belongs to the same space as the process itself. We also obtain estimates for...
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| Datum: | 1999 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1999
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4681 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510843104395264 |
|---|---|
| author | Kozachenko, Yu. V. Козаченко, Ю. В. |
| author_facet | Kozachenko, Yu. V. Козаченко, Ю. В. |
| author_sort | Kozachenko, Yu. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:11:21Z |
| description | We study random processes from quasi-Banach $K_{σ}$-spaces of random variables whose domain of definition is not necessarily a compact set. We establish conditions under which the supremum of a properly normalized process belongs to the same space as the process itself. We also obtain estimates for the norm of this supremum. |
| first_indexed | 2026-03-24T03:03:26Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4681 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:03:26Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/bb/a4ea70c7128f5fa0c9e5d9cb1abb6dbb.pdf |
| spelling | umjimathkievua-article-46812020-03-18T21:11:21Z Distribution of the supremum of random processes from quasi-Banach $K_{σ}$-spaces Про розподіл супремума випадкових процесів з квазібанахових $K_{σ}$- просторів Kozachenko, Yu. V. Козаченко, Ю. В. We study random processes from quasi-Banach $K_{σ}$-spaces of random variables whose domain of definition is not necessarily a compact set. We establish conditions under which the supremum of a properly normalized process belongs to the same space as the process itself. We also obtain estimates for the norm of this supremum. Вивчаються випадкові процеси з квазібаиахових $K_{σ}$-просторів випадкових величин, область означення яких не обов'язково компакт. Знайдено умови, за яких супремум відповідно нормованого процесу належить тому ж простору, що й сам процес, а також оцінки норми цього супремума. Institute of Mathematics, NAS of Ukraine 1999-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4681 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 7 (1999); 918-930 Український математичний журнал; Том 51 № 7 (1999); 918-930 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4681/6064 https://umj.imath.kiev.ua/index.php/umj/article/view/4681/6065 Copyright (c) 1999 Kozachenko Yu. V. |
| spellingShingle | Kozachenko, Yu. V. Козаченко, Ю. В. Distribution of the supremum of random processes from quasi-Banach $K_{σ}$-spaces |
| title | Distribution of the supremum of random processes from quasi-Banach $K_{σ}$-spaces |
| title_alt | Про розподіл супремума випадкових процесів з квазібанахових $K_{σ}$-
просторів |
| title_full | Distribution of the supremum of random processes from quasi-Banach $K_{σ}$-spaces |
| title_fullStr | Distribution of the supremum of random processes from quasi-Banach $K_{σ}$-spaces |
| title_full_unstemmed | Distribution of the supremum of random processes from quasi-Banach $K_{σ}$-spaces |
| title_short | Distribution of the supremum of random processes from quasi-Banach $K_{σ}$-spaces |
| title_sort | distribution of the supremum of random processes from quasi-banach $k_{σ}$-spaces |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4681 |
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