IDEAS home Printed from https://ideas.repec.org/a/taf/lstaxx/v47y2018i22p5573-5589.html
   My bibliography  Save this article

Relationship between the weighted distributions and some inequality measures

Author

Listed:
  • Zahra Behdani
  • Gholam Reza Mohtashami Borzadaran
  • Bahram Sadeghpour Gildeh

Abstract

In this paper, we study the relationships between the weighted distributions and the parent distributions in the context of Lorenz curve, Lorenz ordering and inequality measures. These relationships depend on the nature of the weight functions and give rise to interesting connections. The properties of weighted distributions for general weight functions are also investigated. It is shown how to derive and to determine characterizations related to Lorenz curve and other inequality measures for the cases weight functions are increasing or decreasing. Some of the results are applied for special cases of the weighted distributions. We represent the reliability measures of weighted distributions by the inequality measures to obtain some results. Length-biased and equilibrium distributions have been discussed as weighted distributions in the reliability context by concentration curves. We also review and extend the problem of stochastic orderings and aging classes under weighting. Finally, the relationships between the weighted distribution and transformations are discussed.

Suggested Citation

  • Zahra Behdani & Gholam Reza Mohtashami Borzadaran & Bahram Sadeghpour Gildeh, 2018. "Relationship between the weighted distributions and some inequality measures," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(22), pages 5573-5589, November.
    • Handle: RePEc:taf:lstaxx:v:47:y:2018:i:22:p:5573-5589
    DOI: 10.1080/03610926.2017.1397171
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/03610926.2017.1397171
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/03610926.2017.1397171?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.

    More about this item

    Statistics

    Access and download statistics

    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:taf:lstaxx:v:47:y:2018:i:22:p:5573-5589. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/lsta .

    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.