Uniform exponential bound for the normalized empirical process
J. Yukich (1986)
Studia Mathematica
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Displaying similar documents to “Metric entropy and the central limit theorem in ”
Uniform exponential bound for the normalized empirical process
A large deviation theorem for the empirical eigenvalue distribution of random unitary matrices
Fumio Hiai, Dénes Petz (2000)
Annales de l'I.H.P. Probabilités et statistiques
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Large deviations for a triangular array of exchangeable random variables
José Trashorras (2002)
Annales de l'I.H.P. Probabilités et statistiques
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Infimum-convolution description of concentration properties of product probability measures, with applications
Paul-Marie Samson (2007)
Annales de l'I.H.P. Probabilités et statistiques
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Two problems in prediction theory
Takahiko Nakazi (1984)
Studia Mathematica
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Entropy numbers of embeddings of Sobolev spaces in Zygmund spaces
D. Edmunds, Yu. Netrusov (1998)
Studia Mathematica
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Let id be the natural embedding of the Sobolev space in the Zygmund space , where , 1 < p < ∞, l ∈ ℕ, 1/p = 1/q + l/n and a < 0, a ≠ -l/n. We consider the entropy numbers of this embedding and show that , where η = min(-a,l/n). Extensions to more general spaces are given. The results are applied to give information about the behaviour of the eigenvalues of certain operators of elliptic type.
Process-level quenched large deviations for random walk in random environment
Firas Rassoul-Agha, Timo Seppäläinen (2011)
Annales de l'I.H.P. Probabilités et statistiques
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We consider a bounded step size random walk in an ergodic random environment with some ellipticity, on an integer lattice of arbitrary dimension. We prove a level 3 large deviation principle, under almost every environment, with rate function related to a relative entropy.