IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v46y2000i1p75-84.html
   My bibliography  Save this article

On conditional independence and the relationship between sufficiency and invariance under the Bayesian point of view

Author

Listed:
  • Nogales, Agustín G.
  • Oyola, José A.
  • Pérez, Paloma

Abstract

The concept of conditional independence is considered in the study of the relationship between sufficiency and invariance under a Bayesian point of view showing, among other results, that the conditional independence of the almost-invariant [sigma]-field and a sufficient [sigma]-field given its intersection is equivalent to its sampling conditional independence. In the Bayesian framework, an improvement upon a well-known and classical result of Stein is obtained.

Suggested Citation

  • Nogales, Agustín G. & Oyola, José A. & Pérez, Paloma, 2000. "On conditional independence and the relationship between sufficiency and invariance under the Bayesian point of view," Statistics & Probability Letters, Elsevier, vol. 46(1), pages 75-84, January.
    • Handle: RePEc:eee:stapro:v:46:y:2000:i:1:p:75-84
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-7152(99)00089-9
    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. Nogales, Agustín G. & Oyola, José A. & Pérez, Paloma, 2001. "A weak notion of equivalence in Bayesian statistical theory," Statistics & Probability Letters, Elsevier, vol. 53(4), pages 401-407, July.
    2. Garcia-Zattera, Maria Jose & Jara, Alejandro & Lesaffre, Emmanuel & Declerck, Dominique, 2007. "Conditional independence of multivariate binary data with an application in caries research," Computational Statistics & Data Analysis, Elsevier, vol. 51(6), pages 3223-3234, March.

    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:46:y:2000:i:1:p:75-84. 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.