IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v83y2013i3p930-935.html
   My bibliography  Save this article

Bayes classifiers of three-dimensional rotations and the sphere with symmetries

Author

Listed:
  • Rau, Christian

Abstract

We derive the Bayes classification rule for two rotation distributions in three dimensions which are shifts of a common conjugation-invariant distribution, and for the two distributions on the sphere which are obtained by applying rotations of this kind to the north pole of the sphere.

Suggested Citation

  • Rau, Christian, 2013. "Bayes classifiers of three-dimensional rotations and the sphere with symmetries," Statistics & Probability Letters, Elsevier, vol. 83(3), pages 930-935.
    • Handle: RePEc:eee:stapro:v:83:y:2013:i:3:p:930-935
    DOI: 10.1016/j.spl.2012.12.012
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167715212004713
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.spl.2012.12.012?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.

    References listed on IDEAS

    as
    1. Oualkacha, Karim & Rivest, Louis-Paul, 2009. "A new statistical model for random unit vectors," Journal of Multivariate Analysis, Elsevier, vol. 100(1), pages 70-80, January.
    2. León, Carlos A. & Massé, Jean-Claude & Rivest, Louis-Paul, 2006. "A statistical model for random rotations," Journal of Multivariate Analysis, Elsevier, vol. 97(2), pages 412-430, February.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Atsushi Inoue & Lutz Kilian, 2020. "The Role of the Prior in Estimating VAR Models with Sign Restrictions," Working Papers 2030, Federal Reserve Bank of Dallas.
    2. Arthur Pewsey & Eduardo García-Portugués, 2021. "Recent advances in directional statistics," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(1), pages 1-58, March.
    3. Jeon, Jeong Min & Van Keilegom, Ingrid, 2023. "Density estimation for mixed Euclidean and non-Euclidean data in the presence of measurement error," Journal of Multivariate Analysis, Elsevier, vol. 193(C).
    4. Stanfill, Bryan & Genschel, Ulrike & Hofmann, Heike & Nordman, Dan, 2015. "Nonparametric confidence regions for the central orientation of random rotations," Journal of Multivariate Analysis, Elsevier, vol. 135(C), pages 106-116.
    5. Qiu, Yu & Nordman, Daniel J. & Vardeman, Stephen B., 2014. "One-sample Bayes inference for symmetric distributions of 3-D rotations," Computational Statistics & Data Analysis, Elsevier, vol. 71(C), pages 520-529.
    6. Arnold, R. & Jupp, P.E. & Schaeben, H., 2018. "Statistics of ambiguous rotations," Journal of Multivariate Analysis, Elsevier, vol. 165(C), pages 73-85.
    7. Melissa A. Bingham & Marissa L. Scray, 2017. "A permutation test for comparing rotational symmetry in three-dimensional rotation data sets," Journal of Statistical Distributions and Applications, Springer, vol. 4(1), pages 1-8, December.
    8. Bingham, Melissa A. & Nordman, Daniel J. & Vardeman, Stephen B., 2010. "Finite-sample investigation of likelihood and Bayes inference for the symmetric von Mises-Fisher distribution," Computational Statistics & Data Analysis, Elsevier, vol. 54(5), pages 1317-1327, May.

    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:83:y:2013:i:3:p:930-935. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.