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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Bibliographic Details
Date:2025
Main Authors: Matsak , I. K., Мацак , И. К.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 2025
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