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Some new formulae for posterior expectations and Bartlett corrections

Sweeting, T.J. and Kharroubi, S.A. (2007) Some new formulae for posterior expectations and Bartlett corrections. TEST, 12 (2). pp. 497-521. ISSN 1863-8260

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Some new accurate approximations for posterior expectations and Bartlett corrections are derived. These approximations are modifications of formulae based on signed root log-likelihood ratios obtained in Sweeting (1996) and are designed to address two problems that arise in the practical application of these formulae in the multiparameter case. The first problem is a computational one associated with inversion of signed root log-likelihood ratios. The second concerns the form of the posterior expectation formula, which is not in a particularly convenient form for the computation of predictive densities. The theory is illustrated by two examples.

Item Type: Article
Institution: The University of York
Academic Units: The University of York > Mathematics (York)
Depositing User: York RAE Import
Date Deposited: 11 Feb 2009 15:14
Last Modified: 11 Feb 2009 15:14
Published Version: http://dx.doi.org/10.1007/BF02595727
Status: Published
Publisher: Feedage.com LLC
Identification Number: 10.1007/BF02595727
URI: http://eprints.whiterose.ac.uk/id/eprint/7560

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