IDEAS home Printed from https://ideas.repec.org/a/taf/amstat/v71y2017i4p302-304.html
   My bibliography  Save this article

A Simple Analysis of the Exact Probability Matching Prior in the Location-Scale Model

Author

Listed:
  • Thomas J. DiCiccio
  • Todd A. Kuffner
  • G. Alastair Young

Abstract

It has long been asserted that in univariate location-scale models, when concerned with inference for either the location or scale parameter, the use of the inverse of the scale parameter as a Bayesian prior yields posterior credible sets that have exactly the correct frequentist confidence set interpretation. This claim dates to at least Peers, and has subsequently been noted by various authors, with varying degrees of justification. We present a simple, direct demonstration of the exact matching property of the posterior credible sets derived under use of this prior in the univariate location-scale model. This is done by establishing an equivalence between the conditional frequentist and posterior densities of the pivotal quantities on which conditional frequentist inferences are based.

Suggested Citation

  • Thomas J. DiCiccio & Todd A. Kuffner & G. Alastair Young, 2017. "A Simple Analysis of the Exact Probability Matching Prior in the Location-Scale Model," The American Statistician, Taylor & Francis Journals, vol. 71(4), pages 302-304, October.
    • Handle: RePEc:taf:amstat:v:71:y:2017:i:4:p:302-304
    DOI: 10.1080/00031305.2016.1255662
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00031305.2016.1255662
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00031305.2016.1255662?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. Thomas A. Severini, 2002. "On an exact probability matching property of right-invariant priors," Biometrika, Biometrika Trust, vol. 89(4), pages 952-957, December.
    2. Thomas J. Diciccio & Todd A. Kuffner & G. Alastair Young, 2012. "Objective Bayes, conditional inference and the signed root likelihood ratio statistic," Biometrika, Biometrika Trust, vol. 99(3), pages 675-686.
    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. Valeria Bignozzi & Andreas Tsanakas, 2016. "Parameter Uncertainty and Residual Estimation Risk," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 83(4), pages 949-978, December.
    2. Andreas Frohlich & Annegret Weng, 2016. "Parameter uncertainty and reserve risk under Solvency II," Papers 1612.03066, arXiv.org, revised Apr 2017.
    3. R. Gerrard & A. Tsanakas, 2011. "Failure Probability Under Parameter Uncertainty," Risk Analysis, John Wiley & Sons, vol. 31(5), pages 727-744, May.
    4. Fröhlich, Andreas & Weng, Annegret, 2018. "Parameter uncertainty and reserve risk under Solvency II," Insurance: Mathematics and Economics, Elsevier, vol. 81(C), pages 130-141.

    More about this item

    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:taf:amstat:v:71:y:2017:i:4:p:302-304. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/UTAS20 .

    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.