On probabilities of large deviations in Banach spaces

DOI10.1007/BF01474639zbMath0678.60005MaRDI QIDQ1124197

Alfredas Račkauskas, Vidmantas Bentkus

Publication date: 1990

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

Bernstein inequalitiesAnderson-Darling testempirical characteristic functionsLinnik zoneomega-square tests

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Large deviations (60F10) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (8)

\(U\)-statistics in Banach spaces ⋮ Large deviations for martingales with some applications ⋮ On moderate deviations for martingales ⋮ The sharp lower bound of asymptotic efficiency of estimators in the zone of moderate deviation probabilities ⋮ High-dimensional CLT: improvements, non-uniform extensions and large deviations ⋮ Nonuniform estimates in the central limit theorem in Banach spaces ⋮ Theorems of large deviations in the multivariate invariance principle ⋮ Limit theorem for large deviations probabilities of certain forms

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