IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v77y2007i15p1542-1548.html
   My bibliography  Save this article

Posterior distribution for negative binomial parameter p using a group invariant prior

Author

Listed:
  • Heller, B.
  • Wang, M.

Abstract

We obtain a noninformative prior measure for the p parameter of the negative binomial distribution by use of a group theoretic method. Heretofore, group theoretic inference methods have not been applicable in the case of discrete distributions. A linear representation of a group leads to quantities whose squared moduli constitute the probability distribution. The group invariant measure yields prior measure dp/p2.

Suggested Citation

  • Heller, B. & Wang, M., 2007. "Posterior distribution for negative binomial parameter p using a group invariant prior," Statistics & Probability Letters, Elsevier, vol. 77(15), pages 1542-1548, September.
    • Handle: RePEc:eee:stapro:v:77:y:2007:i:15:p:1542-1548
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-7152(07)00127-7
    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.

    References listed on IDEAS

    as
    1. Ole E. Barndorff‐Nielsen & Richard D. Gill & Peter E. Jupp, 2003. "On quantum statistical inference," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 65(4), pages 775-804, November.
    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. Jupp, P.E., 2010. "A van Trees inequality for estimators on manifolds," Journal of Multivariate Analysis, Elsevier, vol. 101(8), pages 1814-1825, September.
    2. Vladislav Kargin, 2004. "Coordination Games with Quantum Information," Game Theory and Information 0409006, University Library of Munich, Germany.
    3. Luati, Alessandra & Novelli, Marco, 2021. "Explicit-duration Hidden Markov Models for quantum state estimation," Computational Statistics & Data Analysis, Elsevier, vol. 158(C).
    4. Jamal Anwar, S. & Ramzan, M. & Usman, M. & Khalid Khan, M., 2020. "Thermal and intrinsic decoherence effects on the dynamics of two three-level moving atomic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    5. Dale, M.B. & Dale, P.E.R. & Tan, P., 2007. "Supervised clustering using decision trees and decision graphs: An ecological comparison," Ecological Modelling, Elsevier, vol. 204(1), pages 70-78.
    6. Luati, Alessandra & Novelli, Marco, 2020. "The Hammersley–Chapman–Robbins inequality for repeatedly monitored quantum system," Statistics & Probability Letters, Elsevier, vol. 165(C).

    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:77:y:2007:i:15:p:1542-1548. 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.