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Robust HPD Regions in Bayesian Regression Models

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  • Potzelberger, Klaus
  • Polasek, Wolfgang

Abstract

A Bayesian analysis of the linear regression model with only parts of the prior distribution specified or a robust Bayesian analysis lead to sets of posterior distributions. E. E. Leamer (1978) describes the region of posterior means for conjugate priors and varying prior covariance matrices. As an extension to Bayesian confidence sets (HPD regions) the authors introduce the concept of HiFi (high fiduciary) regions. The Hifi region is a union of HPD regions and is a tool for describing the dependence of the posterior distribution on the prior covariance. The authors assume that the prior covariance matrix varies in an interval of matrices. Copyright 1991 by The Econometric Society.

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  • Potzelberger, Klaus & Polasek, Wolfgang, 1991. "Robust HPD Regions in Bayesian Regression Models," Econometrica, Econometric Society, vol. 59(6), pages 1581-1589, November.
    • Handle: RePEc:ecm:emetrp:v:59:y:1991:i:6:p:1581-89
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    Cited by:

    1. John Aldrich, 2006. "When are inferences too fragile to be believed?," Journal of Economic Methodology, Taylor & Francis Journals, vol. 13(2), pages 161-177.
    2. Meczarski, Marek & Zielinski, Ryszard, 1997. "Stability of the posterior mean in linear models An admissibility property of D-optimum and E-optimum designs," Statistics & Probability Letters, Elsevier, vol. 33(2), pages 117-123, April.

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