Toward a universal law of the iterated logarithm, Part II

DOI10.1007/BF00535183zbMath0387.60033MaRDI QIDQ4169472

Michael J. Klass

Publication date: 1977

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

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (16)

Upper functions for lévy processes having only negative jumps ⋮ A tail empirical process approach to some nonstandard laws of the iterated logarithm ⋮ Some effects of trimming on the law of the iterated logarithm ⋮ On one-sided boundedness of normed partial sums ⋮ A universal form of the Chung-type law of the iterated logarithm ⋮ Lil behavior for weakly dependent random variables in Banach spaces ⋮ Characterization of LIL behavior in Banach space ⋮ A LIL for independent non-identically distributed random variables in Banach space and its applications ⋮ A generalization of strassen's functional LIL ⋮ Small time one-sided LIL behavior for Lévy processes at zero ⋮ LIL behavior for B-valued strong mixing random variables ⋮ On the limiting behavior of normed sums of independent random variables ⋮ Converses to the Csörgő-Révész laws ⋮ Small time two-sided LIL behavior for Lévy processes at zero ⋮ Some results on two-sided LIL behavior ⋮ A law of the iterated logarithm for distributions in the generalized domain of attraction of a nondegenerate Gaussian law

Cites Work

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• Properties of optimal extended-valued stopping rules for S\(_n\)/n
• On Strong Bounds for Sums of Independent Random Variables Which Tend to a Stable Distribution
• Toward a universal law of the iterated logarithm
• Generalization of a Probability Limit Theorem of Cramer

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