On Tails and Domains of Attraction of Stable Measures in Banach Spaces

DOI10.2307/1998739zbMath0408.60007OpenAlexW4238678585MaRDI QIDQ4195660

Aloisio Pessoa de Araujo, Evarist Giné M.

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/1998739

zbMATH Keywords

Domains of AttractionStable LawsLevy-Khinchin RepresentationTails of Stable Laws

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Probability theory on linear topological spaces (60B11)

Related Items

On the concentration of measure phenomenon for stable and related random vectors., A family of stable measures in some Banach spaces, Nonuniform estimate of rate of convergence to stable laws in certain Banach spaces, Convergence of moments and related functional in the general central limit theorem in banach spaces, Operators generating stable measures on banach spaces, Characteristic functions of random variables attracted to 1-stable laws, Central limit theorems and weak laws of large numbers in certain banach spaces, Uniform and universal Glivenko-Cantelli classes

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