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Limit theorems for the uppermost mth spacing based on weak geometric records

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  • Stepanov, Alexei
  • Dembińska, Anna

Abstract

In this work, we discuss the mth spacings obtained from weak record values taken from the geometric population. We derive weak and strong limit results for the uppermost mth spacing based on the weak geometric record values.

Suggested Citation

  • Stepanov, Alexei & Dembińska, Anna, 2022. "Limit theorems for the uppermost mth spacing based on weak geometric records," Statistics & Probability Letters, Elsevier, vol. 183(C).
    • Handle: RePEc:eee:stapro:v:183:y:2022:i:c:s0167715221002935
    DOI: 10.1016/j.spl.2021.109351
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    References listed on IDEAS

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    1. Grigoriy Volovskiy & Udo Kamps, 2020. "Maximum product of spacings prediction of future record values," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 83(7), pages 853-868, October.
    2. Katarzyna Danielak & Anna Dembińska, 2007. "Some characterizations of discrete distributions based on weak records," Statistical Papers, Springer, vol. 48(3), pages 479-489, September.
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    Cited by:

    1. Nevzorov, Valery B. & Stepanov, Alexei, 2024. "On uppermost discrete spacing," Statistics & Probability Letters, Elsevier, vol. 208(C).
    2. Bayramoglu, Ismihan & Stepanov, Alexei, 2024. "Asymptotic properties of mth spacings based on records," Statistics & Probability Letters, Elsevier, vol. 208(C).

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