On the probability of large deviations in Banach spaces

DOI10.1214/aop/1176993298zbMath0538.60008OpenAlexW1982731708MaRDI QIDQ793429

Erwin Bolthausen

Publication date: 1984

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176993298

zbMATH Keywords

Banach space valued random variables

Mathematics Subject Classification ID

Large deviations (60F10) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items

Large deviations of uniformly recurrent Markov additive processes ⋮ Large deviations for empirical probability measures and statistical tests ⋮ On Borel measurability and large deviations for fuzzy random variables ⋮ Large deviations for moving average processes ⋮ Cramer's Theorem for Certain Ergodic Processes in Banach Spaces ⋮ Dominating points and large deviations for random vectors ⋮ Large deviation principle for moderate deviation probabilities of bootstrap empirical measures ⋮ On probabilities of moderate deviations of empirical measures for contiguous distributions ⋮ Upper bounds for large deviations of dependent random vectors ⋮ A large deviation principle for bootstrapped sample means ⋮ A Comparison Principle for Large Deviations