Moderate deviation probabilities for open convex sets: nonlogarithmic behavior.
DOI10.1214/009117904000000216zbMath1060.60027arXivmath/0410139OpenAlexW3104364795MaRDI QIDQ1879825
Publication date: 15 September 2004
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0410139
Gaussian measuresmoderate deviation probabilitiesdominating points for open convex setsnonlogarithmic behaviorBerry-Esseen estimates for U-statistics
Central limit and other weak theorems (60F05) Large deviations (60F10) Probability theory on linear topological spaces (60B11) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)
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Cites Work
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- Probabilities of large deviations in topological spaces. I
- On the Gaussian approximation of convolutions under multidimensional analogues of S. N. Bernstein's inequality conditions
- Stability results and strong invariance principles for partial sums of Banach space valued random variables
- Sur les déviations modérées des sommes de variables aléatoires vectorielles indépendantes de même loi. (On moderate deviations of sums of independent and identically distributed vector valued random variables)
- A strong convergence theorem for Banach space valued random variables
- Berry-Esseen bounds for von Mises and \(U\)-statistics
- A Berry-Esseen bound for \(U\)-statistics in the non-i. i. d. case
- Large deviation probabilities and dominating points for open convex sets: Nonlogarithmic behavior
- Dominating points and large deviations for random vectors
- A Berry-Esseen bound for symmetric statistics
- Moderate Deviations and Associated Laplace Approximations for Sums of Independent Random Vectors
- Asymptotic expansions for bivariate von Mises functionals
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