IDEAS home Printed from https://ideas.repec.org/a/bla/stanee/v61y2007i3p305-328.html
   My bibliography  Save this article

A new continuous distribution and two new families of distributions based on the exponential

Author

Listed:
  • Guillermina Jasso
  • Samuel Kotz

Abstract

Recent work on social status led to derivation of a new continuous distribution based on the exponential. The new variate, termed the ring(2)-exponential, in turn leads to derivation of two closely-related new families of continuous distributions, which we call the mirror-exponential and the ring-exponential. Both the standard exponential and the ring(2)-exponential are special cases of both the new families. In this paper, we first focus on the ring(2)-exponential, describing its derivation and examining its properties, and next introduce the two new families, describing their derivation and initiating exploration of their properties. The mirror-exponential arises naturally in the study of status; the ring-exponential arises from the mathematical structure of the ring(2)-exponential. Both have potential for broad application in diverse contexts across science and engineering, including the physical and social sciences as well as finance, information processing, and communication. Within sociobehavioral contexts, the new mirror-exponential may have application to the problem of approximating the form and inequality of the wage distribution.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Guillermina Jasso & Samuel Kotz, 2007. "A new continuous distribution and two new families of distributions based on the exponential," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 61(3), pages 305-328.
  • Handle: RePEc:bla:stanee:v:61:y:2007:i:3:p:305-328
    as

    Download full text from publisher

    File URL: http://www.blackwell-synergy.com/doi/abs/10.1111/j.1467-9574.2007.00358.x
    File Function: link to full text
    Download Restriction: Access to full text is restricted to subscribers.

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

    Other versions of this item:

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jasso, Guillermina, 2009. "Linking Individuals and Societies," IZA Discussion Papers 4288, Institute for the Study of Labor (IZA).
    2. Jasso, Guillermina, 2008. "A New Model of Wage Determination and Wage Inequality," IZA Discussion Papers 3850, Institute for the Study of Labor (IZA).

    More about this item

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C16 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Econometric and Statistical Methods; Specific Distributions
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D6 - Microeconomics - - Welfare Economics
    • I3 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty

    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:bla:stanee:v:61:y:2007:i:3:p:305-328. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Wiley-Blackwell Digital Licensing) or (Christopher F. Baum). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0039-0402 .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.