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On numbers of observations in random regions determined by records for tail-less populations

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  • Dembińska, Anna
  • Akbari, Masoumeh
  • Ahmadi, Jafar

Abstract

In this paper we study the number of observations that occur between successive record times and fall into a random region determined by a current record value and a given Borel set. We describe the asymptotic behavior of this random number in the case when the population is tail-less.

Suggested Citation

  • Dembińska, Anna & Akbari, Masoumeh & Ahmadi, Jafar, 2021. "On numbers of observations in random regions determined by records for tail-less populations," Statistics & Probability Letters, Elsevier, vol. 179(C).
    • Handle: RePEc:eee:stapro:v:179:y:2021:i:c:s0167715221001759
    DOI: 10.1016/j.spl.2021.109213
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    References listed on IDEAS

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    1. Bairamov, I. & Stepanov, A., 2011. "Numbers of near bivariate record-concomitant observations," Journal of Multivariate Analysis, Elsevier, vol. 102(5), pages 908-917, May.
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