Some results on the continuity of stable processes and the domain of attraction of continuous stable processes

zbMath0536.60048MaRDI QIDQ791994

Michael B. Marcus, Gilles Pisier

Publication date: 1984

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPB_1984__20_2_177_0

zbMATH Keywords

metric entropydomains of attractionrandom Fourier integralssample continuous stable processes

Mathematics Subject Classification ID

Sample path properties (60G17) Probability theory on linear topological spaces (60B11) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (10)

On stochastic integral representation of stable processes with sample paths in Banach spaces ⋮ Majorizing measures and operators of stable type in the space C(S) ⋮ Continuity of symmetric stable processes ⋮ Central limit theorem for random processes with sample paths in exponential Orlicz spaces ⋮ Central limit theorem for stochastically continuous processes. Convergence to stable limit ⋮ The central limit theorem in the space C(S) and majorizing measures ⋮ Weak convergence for the row sums of a triangular array of empirical processes under bracketing conditions ⋮ The central limit theorem and the law of iterated logarithm for empirical processes under local conditions ⋮ The Central Limit Theorem for Empirical Processes Under Local Conditions: The Case of Radon Infinitely Divisible Limits without Gaussian Component ⋮ Thin sets of integers in harmonic analysis and \(p\)-stable random Fourier series

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