On the strong law of large numbers for sums over increasing runs

DOI10.1016/j.jspi.2004.06.016zbMath1067.60007OpenAlexW2014265470MaRDI QIDQ1779796

Alexander I. Martikainen

Publication date: 1 June 2005

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2004.06.016

Mathematics Subject Classification ID

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

Cites Work

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• Three problems on the lengths of increasing runs
• Limiting behavior of a process of runs
• Longest runs in a sequence of \(m\)-dependent random variables
• Rate of convergence in the one-sided law of large numbers
• Strong laws for the maximal gain over increasing runs

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