A functional law of the iterated logarithm for distributions in the domain of partial attraction of the normal distribution

DOI10.1016/0304-4149(87)90037-8zbMath0641.60036OpenAlexW2006835384MaRDI QIDQ1100802

Ross A. Maller

Publication date: 1988

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(87)90037-8

zbMATH Keywords

functional law of iterated logarithmdomain of partial attractiontrimmed variables

Mathematics Subject Classification ID

Functional limit theorems; invariance principles (60F17)

Related Items (2)

Some effects of trimming on the law of the iterated logarithm ⋮ A universal form of the Chung-type law of the iterated logarithm

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some results on LIL behavior
• A law of the iterated logarithm for distributions in the generalized domain of attraction of a nondegenerate Gaussian law
• Weak convergence with random indices
• A strong invariance theorem for the strong law of large numbers
• On one-sided boundedness of normed partial sums
• Nucleotide excision repair gene XPD polymorphisms and genetic predisposition to melanoma
• A strong approximation of partial sums of i.i.d. Random variables with infinite variance
• Probability Inequalities for the Sum of Independent Random Variables
• The strong law of large numbers when extreme terms are excluded from sums
• Approximation of partial sums of i.i.d.r.v.s when the summands have only two moments
• Stability for sums of i.i.d. random variables when extreme terms are excluded
• An invariance principle for the law of the iterated logarithm
• On strassen's version of the loglog law
• A Note Concerning Behaviour of Iterated Logarithm Type
• The Law of the Iterated Logarithm for Empirical Distribution
• Functional central limit theorems for processes with positive drift and their inverses
• The 1971 Rietz Lecture Sums of Independent Random Variables--Without Moment Conditions

This page was built for publication: A functional law of the iterated logarithm for distributions in the domain of partial attraction of the normal distribution