An almost sure invariance principle for random variables in the domain of attraction of a stable law

DOI10.1007/BF00532049zbMath0535.60025MaRDI QIDQ3319488

Evan Fisher

Publication date: 1984

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

zbMATH Keywords

invariance principledomain of attractionstable law

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Functional limit theorems; invariance principles (60F17)

Related Items (2)

Asymptotics of sums of random variables from the domain of attraction of a stable law ⋮ Almost sure and weak invariance principles for random variables attracted by a stable law

Cites Work

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• An approximation of partial sums of independent RV'-s, and the sample DF. I
• Moments of Distributions Attracted to Stable Laws
• Almost sure invariance principles when EX 1 2 =?
• An invariance principle for the law of the iterated logarithm
• Regularly varying functions

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