Probabilities of large deviations in Banach spaces

DOI10.1007/BF01141784zbMath0536.60007MaRDI QIDQ791959

Sergei Nagaev

Publication date: 1984

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

inequalitieslower boundslarge deviations in Banach spaces

Mathematics Subject Classification ID

Large deviations (60F10) Probability theory on linear topological spaces (60B11) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Cites Work

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• Inequalities for B-valued random vectors with applications to the strong law of large numbers
• On the subspaces of \(L^p\) \((p > 2)\) spanned by sequences of independent random variables
• Infinitely divisible probability measures and the converse Kolmogorov inequality in Banach spaces
• Large deviations of sums of independent random variables

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