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Robust Bayesian Inference for Seemingly Unrelated Regressions with Elliptical Errors

✍ Scribed by Vee Ming Ng


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
75 KB
Volume
83
Category
Article
ISSN
0047-259X

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✦ Synopsis


Bayesian inference is considered for the seemingly unrelated regressions with an elliptically contoured error distribution. We show that the posterior distribution of the regression parameters and the predictive distribution of future observations under elliptical errors assumption are identical to those obtained under independently distributed normal errors when an improper prior is used. This gives inference robustness with respect to departures from the reference case of independent sampling from the normal distribution.