IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-1-4612-3678-8_6.html
   My bibliography  Save this book chapter

Multivariate Majorization

In: Contributions to Probability and Statistics

Author

Listed:
  • Somesh Das Gupta

    (Indian Statistical Institute)

  • Subir Kumar Bhandari

    (Indian Statistical Institute)

Abstract

The concept of univariate majorization plays a central role in the study of Lorenz dominance for income distribution comparisions in economics. The first part of this paper reviews different conditions which are equivalent to Lorenz dominance. The second part of the present paper poses the question whether such equivalences extend to the multivariate case. Some concepts of multivariate majorization are presented along with a few new results. For economic applications, the notion of a concave utility function on vector observations appears to play a crucial role in multivariate majorization. It is shown that such concavity follows from some easily understandable axioms.

Suggested Citation

  • Somesh Das Gupta & Subir Kumar Bhandari, 1989. "Multivariate Majorization," Springer Books, in: Leon Jay Gleser & Michael D. Perlman & S. James Press & Allan R. Sampson (ed.), Contributions to Probability and Statistics, chapter 3, pages 63-74, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-3678-8_6
    DOI: 10.1007/978-1-4612-3678-8_6
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:spr:sprchp:978-1-4612-3678-8_6. 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: 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.