IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-981-96-2004-3_10.html
   My bibliography  Save this book chapter

Asymptotic Accuracy of a Bootstrap Test of Homogeneity in Fisher–von Mises–Langevin Populations

In: Directional and Multivariate Statistics

Author

Listed:
  • Shreyashi Basak

    (Indian Institute of Technology Kharagpur, Department of Mathematics)

  • Paavo Sattler

    (Technical University Dortmund, Department of Statistics)

  • Somesh Kumar

    (Indian Institute of Technology Kharagpur, Department of Mathematics)

Abstract

The problem of testing the homogeneity of mean directions of several Fisher–von Mises–Langevin (FvML) populations has been studied by several authors under the set up of equal or unequal concentration parameters. In a recent paper, the authors have proposed a heuristic test for testing the homogeneity of mean directions of several FvML populations. They have proposed a nonparametric bootstrap method to compute the critical values of the test. However, the proof of convergence of this nonparametric bootstrap algorithm remains a challenging issue. In this paper, we put forward a detailed proof of the convergence of the nonparametric bootstrap algorithm under the general case of unknown and unequal concentration parameters and unequal sample sizes.

Suggested Citation

  • Shreyashi Basak & Paavo Sattler & Somesh Kumar, 2025. "Asymptotic Accuracy of a Bootstrap Test of Homogeneity in Fisher–von Mises–Langevin Populations," Springer Books, in: Somesh Kumar & Barry C. Arnold & Kunio Shimizu & Arnab Kumar Laha (ed.), Directional and Multivariate Statistics, pages 177-184, Springer.
    • Handle: RePEc:spr:sprchp:978-981-96-2004-3_10
    DOI: 10.1007/978-981-96-2004-3_10
    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:978-981-96-2004-3_10. 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.