IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v193y2023ics0167715222002267.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167715222002267
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.spl.2022.109713?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Nevzorov, Valery B. & Stepanov, Alexei, 2024. "On uppermost discrete spacing," Statistics & Probability Letters, Elsevier, vol. 208(C).
    2. 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.
    3. Nelly Litvak & Maria Vlasiou, 2010. "A survey on performance analysis of warehouse carousel systems," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 64(4), pages 401-447, November.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:stapro:v:193:y:2023:i:c:s0167715222002267. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.