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PARAMETER CURVATURE REVISITED AND THE BAYES-FREQUENTIST DIVERGENCE.

By M. J. Fraser D. A. S. Fraser A. M. Fraser

Abstract

Parameter curvature was introduced by Efron (1975) for classifying curved exponential models. We develop an alternative definition that describes curvature relative to location models. This modified curvature calibrates how Bayes posterior probability differs from familiar frequency based probability. And it provides a basis for then correcting Bayes probabilities to agree with the reproducibility traditional to mainstream statistics. The two curvatures are compared and examples are given

Year: 2010
OAI identifier: oai:CiteSeerX.psu:10.1.1.173.3180
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