IDEAS home Printed from https://ideas.repec.org/a/spr/sankha/v82y2020i1d10.1007_s13171-019-00167-2.html
   My bibliography  Save this article

Bivariate Limit Theorems for Record Values Based on Random Sample Sizes

Author

Listed:
  • M. A. Abd Elgawad

    (Wuhan University of Technology
    Benha University)

  • H. M. Barakat

    (Zagazig University)

  • Ting Yan

    (Central China Normal University)

Abstract

In this paper, the class of limit distribution functions (df’s) of the joint upper record values with random sample size is fully characterized. Necessary and sufficient conditions, as well as the domains of attraction of the limit df’s are obtained. As an application of this result, the sufficient conditions for the weak convergence of the random of record quasi-ranges, record quasi-midranges, record extremal quasi-quotients and record extremal quasi-products are obtained. Moreover, the classes of the non-degenerate limit df’s of these statistics are derived.

Suggested Citation

  • M. A. Abd Elgawad & H. M. Barakat & Ting Yan, 2020. "Bivariate Limit Theorems for Record Values Based on Random Sample Sizes," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 82(1), pages 50-67, February.
    • Handle: RePEc:spr:sankha:v:82:y:2020:i:1:d:10.1007_s13171-019-00167-2
    DOI: 10.1007/s13171-019-00167-2
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s13171-019-00167-2
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s13171-019-00167-2?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. Barakat, H.M. & Abd Elgawad, M.A., 2017. "Asymptotic behavior of the joint record values, with applications," Statistics & Probability Letters, Elsevier, vol. 124(C), pages 13-21.
    2. Resnick, Sidney I., 1973. "Limit laws for record values," Stochastic Processes and their Applications, Elsevier, vol. 1(1), pages 67-82, January.
    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. Barakat, H.M. & Abd Elgawad, M.A., 2017. "Asymptotic behavior of the joint record values, with applications," Statistics & Probability Letters, Elsevier, vol. 124(C), pages 13-21.
    2. Nayak, S. S. & Zalki, Madhusudhan, 2001. "Almost sure limit points of record values from two independent populations," Statistics & Probability Letters, Elsevier, vol. 51(2), pages 181-187, January.
    3. L. Gajek & U. Gather, 1991. "Moment inequalities for order statistics with applications to characterizations of distributions," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 38(1), pages 357-367, December.
    4. Falk, M. & Khorrami Chokami, A. & Padoan, S.A., 2018. "Some results on joint record events," Statistics & Probability Letters, Elsevier, vol. 135(C), pages 11-19.
    5. Mohammad Raqab, 2009. "Distribution-free prediction intervals for the future current record statistics," Statistical Papers, Springer, vol. 50(2), pages 429-439, March.
    6. Wang, Guanjun & Peng, Rui & Xing, Liudong, 2018. "Reliability evaluation of unrepairable k-out-of-n: G systems with phased-mission requirements based on record values," Reliability Engineering and System Safety, Elsevier, vol. 178(C), pages 191-197.
    7. M. Emadi & J. Ahmadi & N. Arghami, 2007. "Comparison of record data and random observations based on statistical evidence," Statistical Papers, Springer, vol. 48(1), pages 1-21, January.

    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:spr:sankha:v:82:y:2020:i:1:d:10.1007_s13171-019-00167-2. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.