IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v9y1990i2p155-161.html
   My bibliography  Save this article

Modified Bessel functions and their applications in probability and statistics

Author

Listed:
  • Robert, Christian

Abstract

Modified Bessel functions are often of use in the probabilistic and statistical analysis of spherical distributions and we give here the main properties of these functions. In particular, they appear in Bayes estimators with respect to uniform distributions on spheres; we derive a constructive result about the approximation of a Bayes estimator by a mixture of these primitive estimators.

Suggested Citation

  • Robert, Christian, 1990. "Modified Bessel functions and their applications in probability and statistics," Statistics & Probability Letters, Elsevier, vol. 9(2), pages 155-161, February.
    • Handle: RePEc:eee:stapro:v:9:y:1990:i:2:p:155-161
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0167-7152(92)90011-S
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

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

    Citations

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


    Cited by:

    1. Árpád Baricz & Dragana Jankov Maširević & Tibor K. Pogány, 2021. "Approximation of CDF of Non-Central Chi-Square Distribution by Mean-Value Theorems for Integrals," Mathematics, MDPI, vol. 9(2), pages 1-12, January.
    2. Marchand, Éric & Perron, François, 2005. "Improving on the mle of a bounded location parameter for spherical distributions," Journal of Multivariate Analysis, Elsevier, vol. 92(2), pages 227-238, February.
    3. Marchand, Éric & Perron, François, 2002. "On the minimax estimator of a bounded normal mean," Statistics & Probability Letters, Elsevier, vol. 58(4), pages 327-333, July.
    4. Andrés Martín & Ernesto Estrada, 2023. "Fractional-Modified Bessel Function of the First Kind of Integer Order," Mathematics, MDPI, vol. 11(7), pages 1-13, March.
    5. Jan Beran & Britta Steffens & Sucharita Ghosh, 2022. "On nonparametric regression for bivariate circular long-memory time series," Statistical Papers, Springer, vol. 63(1), pages 29-52, February.
    6. Fourdrinier, Dominique & Marchand, Éric, 2010. "On Bayes estimators with uniform priors on spheres and their comparative performance with maximum likelihood estimators for estimating bounded multivariate normal means," Journal of Multivariate Analysis, Elsevier, vol. 101(6), pages 1390-1399, July.

    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:eee:stapro:v:9:y:1990:i:2:p:155-161. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    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.