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A counting process in the max-scheme

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Publication:2786951
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DOI10.1090/tpms/971zbMath1333.60105OpenAlexW2274109707MaRDI QIDQ2786951

Ivan K. Matsak

Publication date: 24 February 2016

Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tpms/971

zbMATH Keywords

independent random variablescounting processmax-schemealmost sure asymptotic behavior


Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70) Strong limit theorems (60F15)




Cites Work

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  • The asymptotic behavior of a counting process in the max-scheme. A discrete case
  • One improvement of the law of the iterated logarithm for the maximum scheme
  • Extremes and related properties of random sequences and processes
  • The Robbins-Siegmund series criterion for partial maxima
  • Asymptotic behavior of a counting process in the maximum scheme
  • An iterated logarithm law for the maximum in a stationary gaussian sequence
  • The Rate of Growth of Sample Maxima
  • On the Limit Behaviour of Extreme Order Statistics
  • Regularly varying functions
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