Exponential tilting in Bayesian asymptotics

S. A. Kharroubi and T. J. Sweeting

Biometrika, 2016, vol. 103, issue 2, 337-349

Abstract: We use exponential tilting to obtain versions of asymptotic formulae for Bayesian computation that do not involve conditional maxima of the likelihood function, yielding a more stable computational procedure and significantly reducing computational time. In particular we present an alternative version of the Laplace approximation for a marginal posterior density. Implementation of the asymptotic formulae and a modified signed root based importance sampler are illustrated with an example.

Date: 2016
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