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Original Articles

Bayesian Analysis of Poisson Mixtures

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Pages 181-202 | Published online: 27 Oct 2010

References

  • Clayton , D. and Bernardinelli , L. 1992 . “ Bayesian methods for mapping disease risk ” . In Geographical and Environmental Epidemiology: Methods for Small-area Studies , 205 – 220 . London : Oxford University Press .
  • McLachlan , G. J. and Basford , K. E. 1988 . Mixture Models Inference and Applications to Clustering. , New York : Dekker .
  • Green , P. J. 1995 . Reversible jump Markov Chain Monte Carlo computation and Bayesian model determination . Biometrika , 82 : 711 – 732 .
  • Richardson , S. and Green , P. J. 1997 . On Bayesian analysis of mixtures with an unknown number of components (with discussion) . Journal of the Royal Statistical Society (Series B) , 59 : 731 – 792 .
  • Gruet , M. A. , Philippe , A. and Robert , C. P. 1999 . MCMC control spreadsheets for exponential mixture estimation . Journal of Computational and Graphical Statistics , 8 : 298 – 317 .
  • Dellaportas , P. , Karlis , D. and Xekalaki , E. 1997 . Bayesian analysis of finite Poisson mixtures , Athens University of Economics and Business . Technical Report
  • Roeder , K. and Wasserman , L. 1997 . Practical Bayesian density estimation using mixtures of normals . Journal of the American Statistical Association , 92 : 894 – 902 .
  • Spiegelhalter , D. , Best , N. G. , Carlin , B. P. and van der Linde , A. 2002 . Bayesian measures of model complexity fit . Journal of the Royal Statistical Society (Series B) , (to appear)
  • Stephens , M. 2000 . Bayesian analysis of mixtures with an unknown number of components - an alternative to reversible jump methods . Annals of Statistics , 28 : 40 – 74 .
  • Celeux , G. , Hum , M. A. and Robert , C. P. 2000 . Computational and inferential difficulties with mixture posterior distributions . Journal of the American Statistical Association , 95 : 957 – 970 .
  • Robert , C. P. 1998 . Discretization and MCMC Convergence Assessment, Lecture Notes in Statistics , Vol.135 , Springer-Verlag .
  • Sokal , A. D. 1989 . Monte Carlo methods in statistical mechanics: foundations and new algorithms , Lausanne : Cours de troisième cycle de la physique en Suisse Romande .
  • Besag , J. and Green , P. J. 1993 . Spatial statistics and Bayesian computation . Journal of the Royal Statistical Society (Series B) , 55 : 25 – 37 .
  • Watier , L. , Richardson , S. and Green , P. J. Using Gaussian mixtures with unknown number of components for mixed model estimation . 14th International Workshop on Statistical Modelling . Graz , Austria.
  • Brenac , T. 1994 . Accidents en carrefour sur routes nationales, modélisation du nombre d'accidents prédictible sur un carrefour et exemples d'applications , Technical Report 185 Arcueil : INRETS .
  • Breslow , N. E. 1984 . Extra-Poisson variation in log-linear models . Applied Statistics , 33 (1) : 38 – 44 .
  • Wasserman , L. 2000 . Asymptotic inference for mixture models using data dependent priors . Journal of the Royal Statistical Society (Series B) , 62 : 159 – 180 .
  • Hum , M. A. , Justel , A. and Robert , C. P. 2001 . Estimating mixtures of regressions . Journal of Computational and Graphical Statistics , (to appear)

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