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Laws of large numbers for the number of weak records

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  • Gouet, Raúl
  • Javier López, F.
  • Sanz, Gerardo

Abstract

We obtain strong laws of large numbers for the number of weak records among the first n observations from a sequence of nonnegative integer-valued independent identically distributed random variables.

Suggested Citation

  • Gouet, Raúl & Javier López, F. & Sanz, Gerardo, 2008. "Laws of large numbers for the number of weak records," Statistics & Probability Letters, Elsevier, vol. 78(14), pages 2010-2017, October.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:14:p:2010-2017
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    References listed on IDEAS

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    1. Bairamov, Ismihan & Stepanov, Alexei, 2006. "A note on large deviations for weak records," Statistics & Probability Letters, Elsevier, vol. 76(14), pages 1449-1453, August.
    2. Vervaat, Wim, 1973. "Limit theorems for records from discrete distributions," Stochastic Processes and their Applications, Elsevier, vol. 1(4), pages 317-334, October.
    3. Dembinska, A. & Stepanov, A., 2006. "Limit theorems for the ratio of weak records," Statistics & Probability Letters, Elsevier, vol. 76(14), pages 1454-1464, August.
    4. Stepanov, A. V. & Balakrishnan, N. & Hofmann, Glenn, 2003. "Exact distribution and Fisher information of weak record values," Statistics & Probability Letters, Elsevier, vol. 64(1), pages 69-81, August.
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    Cited by:

    1. Miguel Lafuente & Raúl Gouet & F. Javier López & Gerardo Sanz, 2022. "Near-Record Values in Discrete Random Sequences," Mathematics, MDPI, vol. 10(14), pages 1-20, July.
    2. Gouet, Raúl & López, F. Javier & Maldonado, Lina P. & Sanz, Gerardo, 2014. "Statistical inference for the geometric distribution based on δ-records," Computational Statistics & Data Analysis, Elsevier, vol. 78(C), pages 21-32.

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