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Econometrica Vol. 59 No. 6 1991

Robust HPD Regions in Bayesian Regression Models

Klaus Pötzelberger; Wolfgang Polasek

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.

DOI
10.2307/2938279
Volume
59
Issue
6
Pages
1581
Sources
bibtex:phds-export.bib crossref openalex

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