Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Bayesian Method for Combining Results from Different Poisson Experiments

  • Published : 2000.08.01
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Abstract

The problem of information related to I poission experiments, each having a distinct failure rate $\theta$i I=1,2,…,I, is considered. Instead of using a standard exchangeable prior for $\theta$=($\theta$1,$\theta$2,…,$\theta$I), we consider a partition of the experiments and take the $\theta$i's belonging to the same partition subgroup to be exchangeable and the $\theta$i's belonging to distinct subgroups to be independent. And we perform Gibbs sampling approach for Bayesian inference on $\theta$ conditional on a partition. Numerical study using real data is provided.

Keywords

References

  1. Journal fo Statistical Computation and Simulation v.23 Simultaneous Estimation of Poisson Means Under Exchangeable and Independent Models Albert,J.H.
  2. Journal of the American Statistical Association v.90 A Bayesian Method for Combining Results From Several Binomial Experiments Consonni,G.;Veronese,P.
  3. Journal of the American Statistical Association v.78 Bayes Methods for Combining the Results of Cancer Studies in Humans and Other Species DuMouchel,W.;Harris,J.
  4. Journal of the American Statistical Association v.85 Sampling-Based Approaches to Calculating Marginal Densities Gelfand,A.E.;Smith,A.F.M.
  5. Communication in Statistics-Theory and Methods v.20 Gibbs Sampling for Marginal Posterior Expectations Gelfand,A.E.;Smith,A.F.M.
  6. IEEE Transactions on Pattern Analysis and Machine Intelligence v.6 Stochastic Relaxation, Gibbs distributions and the Bayesian Restoration of Images Geman,S.;Geman,D.
  7. Statistical Sciences v.7 Inference from Iterative Simulation Using Multiple Sequences Gelman,A.;Rubin,D.B.
  8. Scandinavian Journal of Statistics v.20 Conjugate Likeihood Distribution George,E.I.;Markov,U.E.;Smith,A.F.M.
  9. Statistical Methods for Metaanalysis Hedges,J.V.;Olkin,I.
  10. Biometrika v.79 Bayesian Methodology for Combining the Results From Different Experiments When the Specifications for Pooling are Uncertain Maleck,D.;Sedransk,J.
  11. Communication in Statistics - Simulation and Computation v.27 Hierarchical Bayes Quality Measurement Plan Natarajan,K.;Ghosh,M.;Maiti,T.