IDEAS home Printed from https://ideas.repec.org/a/spr/metrik/v77y2014i7p947-963.html
   My bibliography  Save this article

Characterizations of bivariate distributions using concomitants of record values

Author

Listed:
  • P. Thomas
  • T. Veena

Abstract

In this paper, we consider a family of bivariate distributions which is a generalization of the Morgenstern family of bivariate distributions. We have derived some properties of concomitants of record values which characterize this generalized class of distributions. The role of concomitants of record values in the unique determination of the parent bivariate distribution has been established. We have also derived properties of concomitants of record values which characterize each of the following families viz Morgenstern family, bivariate Pareto family and a generalized Gumbel’s family of bivariate distributions. Some applications of the characterization results are discussed and important conclusions based on the characterization results are drawn. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • P. Thomas & T. Veena, 2014. "Characterizations of bivariate distributions using concomitants of record values," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 77(7), pages 947-963, October.
    • Handle: RePEc:spr:metrik:v:77:y:2014:i:7:p:947-963
    DOI: 10.1007/s00184-013-0480-6
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00184-013-0480-6
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00184-013-0480-6?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. Manoj Chacko & P. Thomas, 2006. "Concomitants of Record Values Arising from Morgenstern Type Bivariate Logistic Distribution and Some of their Applications in Parameter Estimation," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 64(3), pages 317-331, December.
    2. Manoj Chacko & P. Thomas, 2008. "Estimation of parameters of bivariate normal distribution using concomitants of record values," Statistical Papers, Springer, vol. 49(2), pages 263-275, April.
    3. Veena, T.G. & Yageen Thomas, P., 2008. "Characterizations of bivariate distributions by properties of concomitants of order statistics," Statistics & Probability Letters, Elsevier, vol. 78(18), pages 3350-3354, 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. Manoj Chacko & M. Shy Mary, 2013. "Concomitants of k-record values arising from Morgenstern family of distributions and their applications in parameter estimation," Statistical Papers, Springer, vol. 54(1), pages 21-46, February.

    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:metrik:v:77:y:2014:i:7:p:947-963. 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.