Kuelbs-Li inequalities and metric entropy of convex hulls

DOI10.1007/s10959-012-0408-5zbMath1277.60068OpenAlexW2034124842MaRDI QIDQ376249

Oliver Kley

Publication date: 4 November 2013

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-012-0408-5

zbMATH Keywords

Gaussian processconvex hullmetric entropyreproducing kernel Hilbert spacesmall deviations

Mathematics Subject Classification ID

Gaussian processes (60G15) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06)

Related Items (4)

Small ball probabilities, metric entropy and Gaussian rough paths ⋮ Optimality of CKP-inequality in the critical case ⋮ Critically large entropy of absolutely convex hulls in Banach spaces of type \(p\) ⋮ Entropy numbers of convex hulls in Banach spaces and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Universal Donsker classes and metric entropy
• New Gaussian estimates for enlarged balls
• Metric entropy and the small ball problem for Gaussian measures
• Approximation, metric entropy and small ball estimates for Gaussian measures
• Duality of metric entropy
• Gelfand numbers and metric entropy of convex hulls in Hilbert spaces
• Small deviation probability via chaining
• The sizes of compact subsets of Hilbert space and continuity of Gaussian processes
• Entropy numbers of general diagonal operators
• Metric entropy of convex hulls in type $p$ spaces—The critical case
• Small Deviations of Smooth Stationary Gaussian Processes
• Extreme Points of Convex Sets in Infinite Dimensional Spaces
• Metric Entropy of Convex Hulls in Hilbert Spaces
• Metric Entropy of Convex Hulls in Banach Spaces
• ENTROPY OF ABSOLUTE CONVEX HULLS IN HILBERT SPACES
• Metric entropy of convex hulls

This page was built for publication: Kuelbs-Li inequalities and metric entropy of convex hulls