Limit Theorems for Random Elements in Ideals of Order-Bounded Elements of Functional Banach Lattices
For a sequence of independent random elements belonging to an ideal of order-bounded elements of a Banach lattice, we investigate the asymptotic relative stability of extremal values, the law of large numbers for the pth powers, and the central limit theorem.
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| Date: | 2001 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian English |
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Institute of Mathematics, NAS of Ukraine
2001
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4219 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510349977976832 |
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| author | Matsak, I. K. Plichko, A. M. Мацак, І. К. Плічко, А. М. |
| author_facet | Matsak, I. K. Plichko, A. M. Мацак, І. К. Плічко, А. М. |
| author_sort | Matsak, I. K. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:25:00Z |
| description | For a sequence of independent random elements belonging to an ideal of order-bounded elements of a Banach lattice, we investigate the asymptotic relative stability of extremal values, the law of large numbers for the pth powers, and the central limit theorem. |
| first_indexed | 2026-03-24T02:55:36Z |
| format | Article |
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| id | umjimathkievua-article-4219 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:55:36Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/d9/0cce4d060d90bc07d20a1f34d7cd5fd9.pdf |
| spelling | umjimathkievua-article-42192020-03-18T20:25:00Z Limit Theorems for Random Elements in Ideals of Order-Bounded Elements of Functional Banach Lattices Граничні теореми для випадкових елементів у ідеалах порядково обмежених елементів функціональних банахових граток Matsak, I. K. Plichko, A. M. Мацак, І. К. Плічко, А. М. For a sequence of independent random elements belonging to an ideal of order-bounded elements of a Banach lattice, we investigate the asymptotic relative stability of extremal values, the law of large numbers for the pth powers, and the central limit theorem. Для послідовності незалежних випадкових елементів із ідеалу порядково обмежених елементів банахової гратки досліджується асимптотична відносна стійкість екстремальних значень, закон великих чисел для p-х степенів та центральна гранична теорема. Institute of Mathematics, NAS of Ukraine 2001-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4219 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 1 (2001); 41-49 Український математичний журнал; Том 53 № 1 (2001); 41-49 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4219/5142 https://umj.imath.kiev.ua/index.php/umj/article/view/4219/5143 Copyright (c) 2001 Matsak I. K.; Plichko A. M. |
| spellingShingle | Matsak, I. K. Plichko, A. M. Мацак, І. К. Плічко, А. М. Limit Theorems for Random Elements in Ideals of Order-Bounded Elements of Functional Banach Lattices |
| title | Limit Theorems for Random Elements in Ideals of Order-Bounded Elements of Functional Banach Lattices |
| title_alt | Граничні теореми для випадкових елементів у ідеалах порядково обмежених елементів функціональних банахових граток |
| title_full | Limit Theorems for Random Elements in Ideals of Order-Bounded Elements of Functional Banach Lattices |
| title_fullStr | Limit Theorems for Random Elements in Ideals of Order-Bounded Elements of Functional Banach Lattices |
| title_full_unstemmed | Limit Theorems for Random Elements in Ideals of Order-Bounded Elements of Functional Banach Lattices |
| title_short | Limit Theorems for Random Elements in Ideals of Order-Bounded Elements of Functional Banach Lattices |
| title_sort | limit theorems for random elements in ideals of order-bounded elements of functional banach lattices |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4219 |
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