A limit theorem related to the Hartman-Wintner-Strassen LIL and the Chover LIL

DOI10.1016/j.spl.2015.10.007zbMath1329.60067OpenAlexW1788369290MaRDI QIDQ899625

Shuhua Zhang, De Li Li

Publication date: 30 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.spl.2015.10.007

zbMATH Keywords

partial sumsi.i.d. random variablesChover law of iterated logarithmHartman-Wintner-Strassen law of iterated logarithm

Mathematics Subject Classification ID

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

Related Items (1)

An extension of a theorem of Mikosch

Cites Work

• A law of the iterated logarithm of Chover type for multidimensional Lévy processes
• Some results on two-sided LIL behavior
• A Supplement to the Einmahl–Li Results on Two-Sided Iterated Logarithm Type Behavior for I.I.D. Random Variables
• Characterization of LIL behavior in Banach space
• A converse to the law of the iterated logarithm
• A Law of the Iterated Logarithm for Stable Summands

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