Characterization and domains of attraction of p-stable random compact sets

DOI10.1214/aop/1176993002zbMath0575.60014OpenAlexW2086839512MaRDI QIDQ1064606

Marjorie G. Hahn, Evarist Giné M.

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1214/aop/1176993002

zbMATH Keywords

domain of attractionseparable Banach spacep-stable random setrandom compact convex setsupport process

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Probability theory on linear topological spaces (60B11) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

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Set-valued Brownian motion ⋮ Expected convex hulls, order statistics, and Banach space probabilities ⋮ Constructive definitions of fuzzy random variables ⋮ The Lévy-Hinčin representation for random compact convex subsets which are infinitely divisible under Minkowski addition ⋮ An embedding theorem for convex fuzzy sets ⋮ max-infinitely divisible and max-stable sample continuous processes ⋮ More on \(P\)-stable convex sets in Banach spaces ⋮ Remarks on random countable stable zonotopes ⋮ STABLE AND SEMISTABLE PROBABILITY MEASURES ON CONVEX CONE ⋮ A law of large numbers for random sets ⋮ Convergence of weighted sums of random sets

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