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Asymptotic Behavior of Maxima of Independent Random Variables. Discrete case

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Abstract

We study the asymptotic behavior of almost surely extreme values of discrete random variables. We give applications to birth and death processes and processes describing the length of the queue.

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Authors and Affiliations

  1. Volodymyr Vynnychenko Central Ukrainian State Pedagogical University, 1, Shevchenko street, Kropyvnytskyi, 25006, Ukraine

    Kateryna Akbash

  2. Taras Shevchenko National University of Kyiv, 2/6, Academician Glushkov avenue, Kyiv, 03127, Ukraine

    Natalia Doronina & Ivan Matsak

Authors
  1. Kateryna Akbash
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  2. Natalia Doronina
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  3. Ivan Matsak
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Correspondence to Kateryna Akbash.

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Akbash, K., Doronina, N. & Matsak, I. Asymptotic Behavior of Maxima of Independent Random Variables. Discrete case. Lith Math J 61, 145–160 (2021). https://doi.org/10.1007/s10986-021-09515-y

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  • DOI: https://doi.org/10.1007/s10986-021-09515-y

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