By Michael D. Escobar, Mike West (auth.), Dipak Dey, Peter Müller, Debajyoti Sinha (eds.)
A compilation of unique articles through Bayesian specialists, this quantity provides views on contemporary advancements on nonparametric and semiparametric equipment in Bayesian statistics. The articles talk about how one can conceptualize and improve Bayesian types utilizing wealthy sessions of nonparametric and semiparametric tools, find out how to use smooth computational instruments to summarize inferences, and the way to use those methodologies throughout the research of case studies.
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Extra info for Practical Nonparametric and Semiparametric Bayesian Statistics
1987), "The calculation of posterior distributions by data augmentation (with discussion)," Journal of the American Statistical Association, 82, 528-550. Tomlinson, G. (1998), Analysis of densities with Dirichlet process priors. Unpublished dissertation. University of Toronto. , and West, M. (1993), "Statistical analysis of mixtures applied to postsynpotential fluctuations," Journal of Neuroscience IVletllOds, 47, 1-23. \Vest, M. (1987), "On scale mixtures of normal distributions," Biometrika, 74,646-648.
1998), "Measuring Heterogeneity ill Forensic Databases", Biometrika to appear. L. (1993), "Mixture analysis of pursuit eye tracking dysfunction in schizophrenia," Biological Psychiatry, 34, 331-340. Tanner, IVLA. H. (1987), "The calculation of posterior distributions by data augmentation (with discussion)," Journal of the American Statistical Association, 82, 528-550. Tomlinson, G. (1998), Analysis of densities with Dirichlet process priors. Unpublished dissertation. University of Toronto. , and West, M.
One natural use, developed by Bush and MacEachern (1996), is to create estimates at the stage where the 0i are generated. To estimate E[h(OdJ, one might use R- 1 L~1 E[h(O~:))ls(i), v(i), X], which often has a closed form expression. In the baseball example, the distribution of O;i I(s, v, x) is a beta distribution, and so with polynomial h, the expectations are easily evaluated. The bioassay model admits a wide range of Rao-Blackwellizations. To estimate the predictive density of the tolerance of an individual not included in the study, a particularly nice Rao-Blackwellization comes from Kuo's (1983) work.
Practical Nonparametric and Semiparametric Bayesian Statistics by Michael D. Escobar, Mike West (auth.), Dipak Dey, Peter Müller, Debajyoti Sinha (eds.)