An extension of a theorem of Mikosch

DOI10.1016/J.SPL.2016.09.015zbMath1352.60048OpenAlexW2521190262MaRDI QIDQ342754

Xiang Dong Liu, Yu-Ye Zou

Publication date: 18 November 2016

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2016.09.015

zbMATH Keywords

strong law of large numbersrandom fieldsChover-type law of iterated logarithm

Mathematics Subject Classification ID

Random fields (60G60) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Related Items (1)

Strong laws of large numbers for the sequence of the maximum of partial sums of i.i.d. random variables

Cites Work

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• A limit theorem related to the Hartman-Wintner-Strassen LIL and the Chover LIL
• Marcinkiewicz laws and convergence rates in the law of large numbers for random variables with multidimensional indices
• Some Strassen-type laws of the iterated logarithm for multiparameter stochastic processes with independent increments
• Strong laws of large numbers for \(r\)-dimensional arrays of random variables
• CHOVER-KLESOV-TYPE LAW OF ITERATED LOGARITHM FOR SUMS OF RANDOM FIELDS
• A converse to the law of the iterated logarithm
• A Law of the Iterated Logarithm for Stable Summands

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