A limit theorem for sums of i.i.d. random variables with slowly varying tail probability

DOI10.1215/kjm/1250520877zbMath0612.60025OpenAlexW1590442100MaRDI QIDQ1088276

Yuji Kasahara

Publication date: 1986

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250520877

zbMATH Keywords

weak convergenceslowly varying tail probabilitysymmetric Cauchy processvarying slowly at infinity

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Functional limit theorems; invariance principles (60F17)

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