On a theorem of V. N. Sudakov on typical distributions

DOI10.1007/s10958-010-9932-yzbMath1288.60015OpenAlexW1989621467MaRDI QIDQ2452614

Sergey G. Bobkov

Publication date: 4 June 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-010-9932-y

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10)

Related Items (3)

Berry-Esseen bounds for typical weighted sums ⋮ Poincaré inequalities and normal approximation for weighted sums ⋮ Normal approximation for weighted sums under a second-order correlation condition

Cites Work

• Sudakov's typical marginals, random linear functionals and a conditional central limit theorem
• Convex measures on locally convex spaces
• Empirical distributions and uniform-in-dimension estimations of scatter in the problem of existence of typical distributions
• Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere
• On concentration of distributions of random weighted sums
• Asymptotics of graphical projection pursuit
• A central limit theorem for convex sets
• Some connections between isoperimetric and Sobolev-type inequalities
• The central limit problem for convex bodies
• Tail-Sensitive Gaussian Asymptotics for Marginals of Concentrated Measures in High Dimension
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