Converses to the Csörgő-Révész laws

DOI10.1016/j.spl.2004.12.010zbMath1099.60019OpenAlexW1976397187MaRDI QIDQ1779667

Andrei N. Frolov

Publication date: 1 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.spl.2004.12.010

zbMATH Keywords

Erdős-Rényi lawLaw of the iterated logarithmCsörgő-Révész lawsIncrements of sums of independent random variablesLarge incrementsOne-sided strong lawsStrong approximation laws

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (1)

Limit theorems for increments of compound renewal processes

Cites Work

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• Some comments on the Erdős-Renyi law and a theorem of Shepp
• An extended version of the Erdős-Rényi strong law of large numbers
• On one-sided strong laws for large increments of sums
• On the asymptotic behavior of increments of sums of independent random variables.
• On a problem of Csörgö and Révész
• On a new law of large numbers
• Some universal results on the behavior of increments of partial sums
• Toward a universal law of the iterated logarithm
• On a Necessary Condition for the Erdos-Renyi Law of Large Numbers
• Toward a universal law of the iterated logarithm, Part II
• One-sided strong laws forincrements of sumsof i.i.d. random variables
• Limit Theorems for Increments of Sums of Independent Random Variables
• A Limit Law Concerning Moving Averages
• The Limit Points of a Normalized Random Walk

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