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A new approximation of the posterior distribution of the log–odds ratio

Marc Fredette and Jean–François Angers

Statistica Neerlandica, 2002, vol. 56, issue 3, 314-329

Abstract: In this paper, the posterior density of the log–odds ratio is studied. It is assumed that the observations have a multinomial distribution and that the prior on the multinomial parameters is a Dirichlet density. Several approximations currently available are reviewed. Under certain conditions on the prior parameters of the Dirichlet density, it is shown that the posterior moments can be computed exactly. A new approximation, similar to the Edgeworth expansion is also proposed. Using a numerical example, the different methods of approximation of posterior density are compared.

Date: 2002
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https://doi.org/10.1111/1467-9574.t01-1-00057

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