Bounds for stable measures of convex shells and stable approximations

DOI10.1214/aop/1019160335zbMath1023.60024OpenAlexW1706441987MaRDI QIDQ1872528

A. Juozulynas, Vygantas Paulauskas, Vidmantas Bentkus

Publication date: 6 May 2003

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

Full work available at URL: https://doi.org/10.1214/aop/1019160335

zbMATH Keywords

convergence ratesconvex setstable measureconvex shell\(\varepsilon\)-stripstable approximations

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Central limit and other weak theorems (60F05)

Related Items (2)

On the rate of convergence to bivariate stable laws ⋮ On some operators associated with non-degenerate symmetric \(\alpha \)-stable probability measures

Cites Work

• Nonuniform estimate of the rate of convergence to a stable law in the multidimensional central limit theorem
• Rate of approximation by a multidimensional stable law
• Dependence of the Berry-Esseen estimate on the dimension
• Rate of convergence to a stable law in the space \(R^ k\)
• Normal approximation - some recent advances
• The reverse isoperimetric problem for Gaussian measure
• A rate of convergence in the Poissonian representation of stable distributions
• Bounds for the accuracy of Poissonian approximations of stable laws
• On the central limit theorem in \(R_ k\)
• SOME RESULTS ON DIFFERENTIABLE MEASURES
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