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On Bayesian D ‐optimum Design Criteria and the Equivalence Theorem in Non‐linear Models
Author(s) -
Firth D.,
Hinde J. P.
Publication year - 1997
Publication title -
journal of the royal statistical society: series b (statistical methodology)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 6.523
H-Index - 137
eISSN - 1467-9868
pISSN - 1369-7412
DOI - 10.1111/1467-9868.00096
Subject(s) - equivalence (formal languages) , mathematics , bayesian probability , mathematical economics , statistics , discrete mathematics
The concavity of some Bayesian D ‐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.