An almost sure functional limit theorem for the domain of geometric partial attraction of semistable laws

DOI10.1007/s10959-007-0074-1zbMath1134.60026OpenAlexW1989286752MaRDI QIDQ2641431

István Fazekas, Aleksey N. Chuprunov

Publication date: 20 August 2007

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-007-0074-1

zbMATH Keywords

functional limit theoremslowly varying functionsemistable lawalmost sure limit theoremdomain of partial attraction

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Functional limit theorems; invariance principles (60F17)

Related Items (5)

Domains of operator semi-attraction of probability measures on Banach spaces ⋮ Almost sure versions of limit theorems for random allocations with the random number of cells ⋮ AN ALMOST SURE LIMIT THEOREM FOR THE MAXIMA OF MULTIVARIATE STATIONARY GAUSSIAN SEQUENCES ⋮ Almost sure limit theorems for random sums of multiindex random variables ⋮ An almost sure limit theorem for random sums of independent random variables in the domain of attraction of a semistable law

Cites Work

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