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Asymptotic Results for m-th Exponential Spacings

Author

Listed:
  • Narayanaswamy Balakrishnan

    (McMaster University)

  • Alexei Stepanov

    (Immanuel Kant Baltic Federal University)

  • Valery Borisovich Nevzorov

    (St. Petersburg State University)

Abstract

In this work, we discuss m-th exponential spacings △k:m:n obtained from order statistics. We study limit results for such spacings when the sample size n tends to infinity and the indices k and m are either fixed or also tend to infinity. We also investigate asymptotic properties of largest exponential m-th spacing.

Suggested Citation

  • Narayanaswamy Balakrishnan & Alexei Stepanov & Valery Borisovich Nevzorov, 2023. "Asymptotic Results for m-th Exponential Spacings," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 85(1), pages 468-477, February.
    • Handle: RePEc:spr:sankha:v:85:y:2023:i:1:d:10.1007_s13171-021-00259-y
    DOI: 10.1007/s13171-021-00259-y
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    References listed on IDEAS

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    1. Alexandre Berred & Alexei Stepanov, 2020. "Asymptotic results for lower exponential spacings," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(7), pages 1730-1741, April.
    2. M. Ahsanullah, 1984. "A characterization of the exponential distribution by higher order gap," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 31(1), pages 323-326, December.
    3. Beirlant, Jan & van Zuijlen, M. C. A., 1985. "The empirical distribution function and strong laws for functions of order statistics of uniform spacings," Journal of Multivariate Analysis, Elsevier, vol. 16(3), pages 300-317, June.
    Full references (including those not matched with items on IDEAS)

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