Toward a universal law of the iterated logarithm

DOI10.1007/BF00533999zbMath0319.60019OpenAlexW192059960MaRDI QIDQ4082077

Michael J. Klass

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1007/bf00533999

Mathematics Subject Classification ID

Strong limit theorems (60F15) Large deviations (60F10)

Related Items (18)

Cluster sets for a generalized law of the iterated logarithm in Banach spaces ⋮ On Random Fourier Series ⋮ Upper functions for lévy processes having only negative jumps ⋮ 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 ⋮ Moments of randomly stopped \(U\)-statistics ⋮ Random walks on comb-type subsets of \(\mathbb{Z}^2\) ⋮ Cluster sets for partial sums and partial sum processes ⋮ Characterization of LIL behavior in Banach space ⋮ Some limit theorems for heights of random walks on a spider ⋮ On the limiting behavior of normed sums of independent random variables ⋮ Converses to the Csörgő-Révész laws ⋮ Toward a universal law of the iterated logarithm, Part II ⋮ Small time two-sided LIL behavior for Lévy processes at zero ⋮ LIL type behavior of multivariate 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

• Unnamed Item
• On tail probabilities for martingales
• On stopping rules and the expected supremum of \(S_n/a_n\) and \(| S_n|/a_n\)
• On the subspaces of \(L^p\) \((p > 2)\) spanned by sequences of independent random variables
• A Best Possible Kolmogoroff-Type Inequality for Martingales and a Characteristic Property
• A Limit Theoerm for Random Variables with Infinite Moments

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