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On BayesianD-optimum Design Criteria and the Equivalence Theorem in Non-linear Models

D. Firth, J. P. Hinde

Journal of the Royal Statistical Society: Series B (Statistical Methodology) · 1997 · Volume 59 · Issue 4

DOI: 10.1111/1467-9868.00096

Abstract

The concavity of some BayesianD-optimality criteria is investigated and is found in some cases to depend on the prior distribution. In the case of a non-concave criterion, the standard equivalence theorem may fail, but a local version continues to apply.

Keywords

Concavity, Equivalence theorem, Optimum design of experiments

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