The central limit problem for random vectors with symmetries

DOI10.1007/s10959-007-0119-5zbMath1135.60013arXivmath/0505618OpenAlexW3102995930WikidataQ126278426 ScholiaQ126278426MaRDI QIDQ2471120

Elizabeth S. Meckes, Mark W. Meckes

Publication date: 18 February 2008

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

Full work available at URL: https://arxiv.org/abs/math/0505618

zbMATH Keywords

Stein's methodconvex bodiesCentral limit problem

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (15)

Large deviations for high-dimensional random projections of \(\ell_p^n\)-balls ⋮ Asymptotic normality of the trace for a class of distributions on orthogonal matrices ⋮ On the approximate normality of eigenfunctions of the Laplacian ⋮ Normal approximation in total variation for statistics in geometric probability ⋮ Random doubly stochastic matrices: the circular law ⋮ \(L^1\) bounds in normal approximation ⋮ A central limit theorem for convex sets ⋮ The negative association property for the absolute values of random variables equidistributed on a generalized Orlicz ball ⋮ Berry-Esseen bounds for typical weighted sums ⋮ Identifying the limiting distribution by a general approach of Stein's method ⋮ A new look at random projections of the cube and general product measures ⋮ Poincaré inequalities and normal approximation for weighted sums ⋮ On Gaussian marginals of uniformly convex bodies ⋮ Normal approximation for weighted sums under a second-order correlation condition ⋮ Non-uniform Berry-Esseen bounds for coordinate symmetric random vectors with applications

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