IDEAS home Printed from https://ideas.repec.org/a/taf/gnstxx/v37y2025i1p230-263.html
   My bibliography  Save this article

A class of nonparametric tests for the two-sample problem based on order statistics

Author

Listed:
  • Kadir Karakaya
  • Sümeyra Sert
  • Ihab Abusaif
  • Coşkun Kuş
  • Hon Keung Tony Ng
  • Haikady N. Nagaraja

Abstract

In this paper, a new class of distribution-free statistics based on order statistics from two independent samples is introduced to test the equality of two continuous distributions. The null distributions are obtained, and the symmetry property of the proposed test statistics is studied. The exact power functions of the new class of tests under the Lehmann alternative family are derived. Extensions of the proposed class of test statistics to situations with unequal sample sizes are discussed. We also study the power performance of the proposed test under the location-shift and scale-shift alternatives using Monte Carlo simulations. We observe that the power performance of the new class of test procedures is comparable to some commonly used nonparametric tests under various scenarios, which indicates that the new class of test procedures can be a good alternative to those classic nonparametric tests for the two-sample problem.

Suggested Citation

  • Kadir Karakaya & Sümeyra Sert & Ihab Abusaif & Coşkun Kuş & Hon Keung Tony Ng & Haikady N. Nagaraja, 2025. "A class of nonparametric tests for the two-sample problem based on order statistics," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 37(1), pages 230-263, January.
  • Handle: RePEc:taf:gnstxx:v:37:y:2025:i:1:p:230-263
    DOI: 10.1080/10485252.2024.2376089
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/10485252.2024.2376089
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1080/10485252.2024.2376089?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:gnstxx:v:37:y:2025:i:1:p:230-263. 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/GNST20 .

    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.