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Default Analysis of Mixture Models using Expected Posterior Priors  (Make Corrections)  
Jos'e M. P'erez and James O. Berger June 23, 1999 DRAFT



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Abstract: Consider observations Y , distributed according to a mixture of densities Y P k j=1 w j f(\Deltaj` j ); where 0 w j 1, P w j = 1, k and ` j correspond to unknown parameters of the mixture. In the a Bayesian framework, it is not possible to perform a default statistical analysis of the mixture using non-proper priors, N , for the component parameters, since the posterior distribution of these do not exist. In this work we suggest the use of the Expected Posterior Prior approach... (Update)

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BibTeX entry:   (Update)

@misc{ and-default,
  author = "Jos'e Erez And",
  title = "Default Analysis of Mixture Models using Expected Posterior Priors",
  url = "citeseer.ist.psu.edu/411936.html" }
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424   Sampling-based approaches to calculating marginal densities (context) - Gelfand, Smith - 1990
381   Markov chains for exploring posterior distributions (context) - Tierney - 1994
326   Reversible Jump Markov CHain Monte Carlo Computation and Bay.. - Green - 1995
317   Monte Carlo sampling methods using Markov Chains and their a.. (context) - Hastings - 1970
150   On Bayesian Analysis of Mixtures with an Unknown Number of C.. - Richardson, Green - 1998
140   Bayesian Density Estimation and Inference Using Mixtures - Escobar, West - 1995
113   Representations of Knowledge in Complex Systems (context) - Grenander, Miller - 1994
54   Estimation of finite Mixture Distributions through Bayesian .. (context) - Diebolt, Robert - 1995
49   The Intrinsic Bayes Factor for Model Selection and Predictio.. (context) - Berger, Pericchi - 1996
39   Practical Bayesian Density Estimation using Mixtures of Norm.. - Roeder, Wasserman - 1997
38   Fractional Bayes Factors for Model Comparison (context) - O'Hagan - 1995
21   The Selection of Prior Distributions by Formal Rules (context) - Kass, Wasserman - 1996
10   Bayes Factors and Marginal Distributions in Invariant Situat.. - Berger, Pericchi et al. - 1998
8   Testing for mixtures: a Bayesian Entropy Approach (context) - Mengersen, Robert - 1996
7   Modeling with Mixtures (context) - West - 1992

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