Weak convergence of the extreme values of independent random variables in banach spaces with unconditional bases
We generalize well-known results concerning the weak convergence of maxima of real independent random variables to the case of random variables taking values in the Banach spaces with unconditional bases.
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| Date: | 1996 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1996
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5280 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511496776187904 |
|---|---|
| author | Matsak, I. K. Мацак, І. К. |
| author_facet | Matsak, I. K. Мацак, І. К. |
| author_sort | Matsak, I. K. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:29:27Z |
| description | We generalize well-known results concerning the weak convergence of maxima of real independent random variables to the case of random variables taking values in the Banach spaces with unconditional bases. |
| first_indexed | 2026-03-24T03:13:49Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5280 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:13:49Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/9b/6040f8863d1bd67aeb5706d8c8a9fd9b.pdf |
| spelling | umjimathkievua-article-52802020-03-18T21:29:27Z Weak convergence of the extreme values of independent random variables in banach spaces with unconditional bases Слабка збіжність екстремальних значень незалежних випадкових елементів у банахових просторах з безумовним базисом Matsak, I. K. Мацак, І. К. We generalize well-known results concerning the weak convergence of maxima of real independent random variables to the case of random variables taking values in the Banach spaces with unconditional bases. Відомі результати про слабку збіжність максимумів дійсних незалежних випадкових величин узагальнюються на випадкові величини із значеннями у банахових просторах з безумовним базисом. Institute of Mathematics, NAS of Ukraine 1996-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5280 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 6 (1996); 805-812 Український математичний журнал; Том 48 № 6 (1996); 805-812 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5280/7252 https://umj.imath.kiev.ua/index.php/umj/article/view/5280/7253 Copyright (c) 1996 Matsak I. K. |
| spellingShingle | Matsak, I. K. Мацак, І. К. Weak convergence of the extreme values of independent random variables in banach spaces with unconditional bases |
| title | Weak convergence of the extreme values of independent random variables in banach spaces with unconditional bases |
| title_alt | Слабка збіжність екстремальних значень незалежних випадкових елементів
у банахових просторах з безумовним базисом |
| title_full | Weak convergence of the extreme values of independent random variables in banach spaces with unconditional bases |
| title_fullStr | Weak convergence of the extreme values of independent random variables in banach spaces with unconditional bases |
| title_full_unstemmed | Weak convergence of the extreme values of independent random variables in banach spaces with unconditional bases |
| title_short | Weak convergence of the extreme values of independent random variables in banach spaces with unconditional bases |
| title_sort | weak convergence of the extreme values of independent random variables in banach spaces with unconditional bases |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5280 |
| work_keys_str_mv | AT matsakik weakconvergenceoftheextremevaluesofindependentrandomvariablesinbanachspaceswithunconditionalbases AT macakík weakconvergenceoftheextremevaluesofindependentrandomvariablesinbanachspaceswithunconditionalbases AT matsakik slabkazbížnístʹekstremalʹnihznačenʹnezaležnihvipadkovihelementívubanahovihprostorahzbezumovnimbazisom AT macakík slabkazbížnístʹekstremalʹnihznačenʹnezaležnihvipadkovihelementívubanahovihprostorahzbezumovnimbazisom |