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Limit theorems for the spacings of weak records

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Abstract

Let W(1), W(2), . . . be weak record values obtained from a sample of independent variables with common discrete distribution. In the present paper, we derive weak and strong limit theorems for the spacings W(n + m) − W(n), m ≥ 1, n → ∞.

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Authors and Affiliations

  1. Institute of Mathematical Statistics, University of Bern, Sidlerstrasse 5, 3012, Bern, Switzerland

    Enkelejd Hashorva

  2. Department of Mathematics, Izmir University of Economics, Sakarya Cad. 156, 35330, Balcova, Izmir, Turkey

    Alexei Stepanov

Authors
  1. Enkelejd Hashorva
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  2. Alexei Stepanov
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Correspondence to Alexei Stepanov.

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Hashorva, E., Stepanov, A. Limit theorems for the spacings of weak records. Metrika 75, 163–180 (2012). https://doi.org/10.1007/s00184-010-0320-x

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  • DOI: https://doi.org/10.1007/s00184-010-0320-x

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