IDEAS home Printed from https://ideas.repec.org/a/spr/fuzinf/v3y2011i4d10.1007_s12543-011-0090-9.html
   My bibliography  Save this article

A fuzzy bootstrap test for the mean with D p,q -distance

Author

Listed:
  • Bahram Sadeghpour-Gildeh

    (University of Mazandaran)

  • Sedigheh Rahimpour

    (University of Mazandaran)

Abstract

In this paper, we consider the problem of testing a simple hypothesis about the mean of a fuzzy random variable. For this purpose, we take a distance between the sample mean and the mean in the null hypothesis as a test statistic. An asymptotic test about the fuzzy mean is obtained by using a central limit theorem. The asymptotical distribution is ω 2-distribution. The ω 2-distribution is only known for special cases, thus we have considered random LR-fuzzy numbers. In the fuzzy concept, in addition to the existence of several versions of the central limit theorem, there is another practical disadvantage: The limit law is, in most cases, difficult to handle. Therefore, the central limit theorem for fuzzy random variable does not seem to be a very useful tool to make inferences on the mean of fuzzy random variable. Thus we use the bootstrap technique. Finally, by means of a simulation study, we show that the bootstrap method is a powerful tool in the statistical hypothesis testing about the mean of fuzzy random variables.

Suggested Citation

  • Bahram Sadeghpour-Gildeh & Sedigheh Rahimpour, 2011. "A fuzzy bootstrap test for the mean with D p,q -distance," Fuzzy Information and Engineering, Springer, vol. 3(4), pages 351-358, December.
    • Handle: RePEc:spr:fuzinf:v:3:y:2011:i:4:d:10.1007_s12543-011-0090-9
    DOI: 10.1007/s12543-011-0090-9
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s12543-011-0090-9
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s12543-011-0090-9?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.

    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:fuzinf:v:3:y:2011:i:4:d:10.1007_s12543-011-0090-9. 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.