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The asymptotic behavior of a counting process in the max-scheme. A discrete case

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Publication:313731
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DOI10.1515/gmj-2016-0013zbMath1346.60071OpenAlexW2339631824MaRDI QIDQ313731

Ivan K. Matsak, Iryna V. Rozora

Publication date: 12 September 2016

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2016-0013


zbMATH Keywords

counting processalmost sure asymptoticsmax-scheme


Mathematics Subject Classification ID

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


Related Items (2)

A counting process in the max-scheme ⋮ Asymptotic behavior of maxima of independent random variables



Cites Work

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  • One improvement of the law of the iterated logarithm for the maximum scheme
  • Extremes and related properties of random sequences and processes
  • Asymptotic behavior of a counting process in the maximum scheme
  • Inverses of extremal processes
  • On discrete time extremal processes
  • Sample Sequences of Maxima
  • An iterated logarithm law for the maximum in a stationary gaussian sequence
  • The Rate of Growth of Sample Maxima


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