One asymptotical estimate for sums of independent random values in the Banach space
A number of estimates are established for the probability of large deviations of sums of independent random variables in a Banach space. In the one dimensional case inequalities of this type occur in the familiar inequalities of Nagaev and Fuk.
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| Date: | 2025 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
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Institute of Mathematics, NAS of Ukraine
2025
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/9368 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513521119264768 |
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| author | Matsak , I. K. Мацак , И. К. |
| author_facet | Matsak , I. K. Мацак , И. К. |
| author_sort | Matsak , I. K. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2025-06-30T14:20:55Z |
| description | A number of estimates are established for the probability of large deviations of sums of independent random variables in a Banach space. In the one dimensional case inequalities of this type occur in the familiar inequalities of Nagaev and Fuk. |
| first_indexed | 2026-03-24T03:46:00Z |
| format | Article |
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| id | umjimathkievua-article-9368 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:46:00Z |
| publishDate | 2025 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/b5/5de9916e4e37fa0f43f92ce4802623b5.pdf |
| spelling | umjimathkievua-article-93682025-06-30T14:20:55Z One asymptotical estimate for sums of independent random values in the Banach space Одна асимптотическая оценка для сумм независимых случайных величин в банаховом пространстве Matsak , I. K. Мацак , И. К. - A number of estimates are established for the probability of large deviations of sums of independent random variables in a Banach space. In the one dimensional case inequalities of this type occur in the familiar inequalities of Nagaev and Fuk. Устанавливается ряд оценок для вероятностей больших уклонении сумм независимых случайных величин в банаховом пространстве. В одномерном случае неравенства такого типа восходят к известным неравенствам Нагаева и Фука. Установлено ряд оцінок для імовірностей великих відхилень сум незалежних випадкових величин у банаховому просторі. В одновимірному випадку нерівності такого типу беруть свій початок від відомих нерівностей Нагаєва і Фука. Institute of Mathematics, NAS of Ukraine 2025-06-30 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/9368 Ukrains’kyi Matematychnyi Zhurnal; Vol. 43 No. 2 (1991); 270-273 Український математичний журнал; Том 43 № 2 (1991); 270-273 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/9368/10518 Copyright (c) 1991 И. К. Мацак |
| spellingShingle | Matsak , I. K. Мацак , И. К. One asymptotical estimate for sums of independent random values in the Banach space |
| title | One asymptotical estimate for sums of independent random values in the Banach space |
| title_alt | Одна асимптотическая оценка для сумм независимых случайных величин в банаховом пространстве |
| title_full | One asymptotical estimate for sums of independent random values in the Banach space |
| title_fullStr | One asymptotical estimate for sums of independent random values in the Banach space |
| title_full_unstemmed | One asymptotical estimate for sums of independent random values in the Banach space |
| title_short | One asymptotical estimate for sums of independent random values in the Banach space |
| title_sort | one asymptotical estimate for sums of independent random values in the banach space |
| topic_facet | - |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/9368 |
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