IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-1-4612-0173-1_2.html
   My bibliography  Save this book chapter

Classical Symmetric Laplace Distribution

In: The Laplace Distribution and Generalizations

Author

Listed:
  • Samuel Kotz

    (George Washington University, Department of Engineering Management and Systems Engineering)

  • Tomaz J. Kozubowski

    (University of Nevada, Department of Mathematics)

  • Krzysztof Podgórski

    (Indiana University—Purdue University, Department of Mathematical Sciences)

Abstract

In the course of our study of the Laplace distribution and its generalizations we have noticed that quite often in the statistical literature this distribution is used not on its own merits but as a source for counterexamples for other (mainly normal) distributions. It would seem that it has been created solely to provide examples of curiosity, nonregularity, and pathological behavior. In studies with probabilistic content, the distribution serves as a tool for limiting theorems and representations with the emphasis on analyzing its differences from the classical theory based on the “sound” foundations of normality. One gets the impression that the “sharp needle” at the origin of the Laplace distribution where the bulk of the density is concentrated generates a ripple effect that affects the behavior over its whole support including the tails.7. These observations prompted us to initiate a detailed study of the Laplace distribution on its own merits without constant intruding comparisons and analogues.

Suggested Citation

  • Samuel Kotz & Tomaz J. Kozubowski & Krzysztof Podgórski, 2001. "Classical Symmetric Laplace Distribution," Springer Books, in: The Laplace Distribution and Generalizations, chapter 2, pages 15-131, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-0173-1_2
    DOI: 10.1007/978-1-4612-0173-1_2
    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:978-1-4612-0173-1_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.

    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.