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June, 1986 Characterization of Externally Bayesian Pooling Operators
Christian Genest, Kevin J. McConway, Mark J. Schervish
Ann. Statist. 14(2): 487-501 (June, 1986). DOI: 10.1214/aos/1176349934

Abstract

When a panel of experts is asked to provide some advice in the form of a group probability distribution, the question arises as to whether they should synthesize their opinions before or after they learn the outcome of an experiment. If the group posterior distribution is the same whatever the order in which the pooling and the updating are done, the pooling mechanism is said to be externally Bayesian by Madansky (1964). In this paper, we characterize all externally Bayesian pooling formulas and we give conditions under which the opinion of the group will be proportional to the geometric average of the individual densities.

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Christian Genest. Kevin J. McConway. Mark J. Schervish. "Characterization of Externally Bayesian Pooling Operators." Ann. Statist. 14 (2) 487 - 501, June, 1986. https://doi.org/10.1214/aos/1176349934

Information

Published: June, 1986
First available in Project Euclid: 12 April 2007

zbMATH: 0602.62005
MathSciNet: MR840510
Digital Object Identifier: 10.1214/aos/1176349934

Subjects:
Primary: 62A99
Secondary: 39B40

Rights: Copyright © 1986 Institute of Mathematical Statistics

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Vol.14 • No. 2 • June, 1986
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