Probabilities of randomly centered small balls and quantization in Banach spaces

DOI10.1214/009117905000000161zbMath1078.60029arXivmath/0402220OpenAlexW3099951114MaRDI QIDQ2569223

Yanyan Li

Publication date: 18 October 2005

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

Full work available at URL: https://arxiv.org/abs/math/0402220

zbMATH Keywords

small deviationsmall ball probabilitieshigh-resolution quantizationasymptotic equirepartition property

Mathematics Subject Classification ID

Signal detection and filtering (aspects of stochastic processes) (60G35) Information theory (general) (94A15) Distributions on infinite-dimensional spaces (46F25)

Related Items (5)

Small deviations for two classes of Gaussian stationary processes and \(L^p\)-functionals, \(0<p\leq\infty\) ⋮ On mm-Entropy of a Banach Space with Gaussian Measure ⋮ Quenched Small Deviation for the Trajectory of a Random Walk with Random Environment in Time ⋮ On the history of St. Petersburg school of probability and mathematical statistics. II: Random processes and dependent variables ⋮ Convergence rates for kernel regression in infinite-dimensional spaces

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• Source coding, large deviations, and approximate pattern matching

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