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Objective prior distributions and Bayesian updating

✍ Scribed by Jussi K. Vaurio

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
435 KB
Volume
35
Category
Article
ISSN
0951-8320

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✦ Synopsis

For many years controversies have clouded constructive discussions between Bayesian and classical frequentistic schools of statistical inference. Much of the controversies have arisen because of mixing statistical variations with subjective distributions of belief. This paper points out parameter uncertainty distributions that have the frequency interpretation, and develops rules on how to select a prior density to obtain such objective posterior densities. It also shows how straightforward application of the Bayesian updating process in case of multivariate observables can lead to inconsistent results if the prior density is not firmly based on empirical evidence about the source population.

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