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Abstract Details

Activity Number: 655
Type: Contributed
Date/Time: Thursday, August 2, 2012 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistical Computing
Abstract - #306465
Title: Perfect Sampling in the Dirichlet-Multinomial Hierarchical Model
Author(s): Nathan Stein*+ and Xiao-Li Meng
Companies: Harvard University and Harvard University
Address: Department of Statistics, Cambridge, MA, 02138-2901, United States
Keywords: Perfect sampling ; Bounding chain ; MCMC ; Data augmentation
Abstract:

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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