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Abstract Details
Activity Number:
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655
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Type:
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Contributed
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Date/Time:
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Thursday, August 2, 2012 : 10:30 AM to 12:20 PM
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Sponsor:
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Section on Statistical Computing
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Abstract - #306465 |
Title:
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Perfect Sampling in the Dirichlet-Multinomial Hierarchical Model
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Author(s):
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Nathan Stein*+ and Xiao-Li Meng
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Companies:
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Harvard University and Harvard University
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Address:
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Department of Statistics, Cambridge, MA, 02138-2901, United States
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Keywords:
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Perfect sampling ;
Bounding chain ;
MCMC ;
Data augmentation
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Abstract:
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This work presents a convenient data augmentation strategy for fitting the hyperparameters of the conjugate Dirichlet-Multinomial hierarchical model. The fact that the augmentation is discrete with a finite state space facilitates perfect sampling from the posterior distribution of the hyperparameters. The algorithm uses a bounding chain that extends perfect sampling methods designed for distributions with an anti-monotonicity structure. The augmentation strategy relies on a non-homogeneous binomial construction closely related to the standard approach in finite mixture models of treating allocation indicators as missing data.
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