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

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  • Marc Fredette
  • Jean–François Angers

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.

Suggested Citation

  • Marc Fredette & Jean–François Angers, 2002. "A new approximation of the posterior distribution of the log–odds ratio," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 56(3), pages 314-329, August.
  • Handle: RePEc:bla:stanee:v:56:y:2002:i:3:p:314-329
    DOI: 10.1111/1467-9574.t01-1-00057
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