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On normal spacings

Author

Listed:
  • Balakrishnan, N.
  • Nevzorov, V.B.
  • Stepanov, A.

Abstract

In this work, we discuss some properties of spacings based on order statistics from normal population. We present the joint density of spacings and then obtain their marginal distributions. We compute some moment characteristics of them and propose two transforms for them. Through one of these transforms, we derive a limit result for the lowest spacing. Other limit results for spacings are derived from an analysis of limit behavior of normal order statistics.

Suggested Citation

  • Balakrishnan, N. & Nevzorov, V.B. & Stepanov, A., 2023. "On normal spacings," Statistics & Probability Letters, Elsevier, vol. 193(C).
    • Handle: RePEc:eee:stapro:v:193:y:2023:i:c:s0167715222002267
    DOI: 10.1016/j.spl.2022.109713
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    References listed on IDEAS

    as
    1. 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.
    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.
    Full references (including those not matched with items on IDEAS)

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