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Activity Number: 489
Type: Invited
Date/Time: Thursday, August 7, 2008 : 10:30 AM to 12:20 PM
Sponsor: Section on Bayesian Statistical Science
Abstract - #300098
Title: The Sample Metropolis-Hastings Algorithm
Author(s): Chuanhai Liu+ and Andrew Lewandowski*+
Companies: Purdue University and Purdue University
Address: Department of Statistics, West Lafayette, IN, 47907-2066, Department of Statistics, West Lafayette, IN, 47907-2066,
Keywords: Bayesian argument ; Deconvolution ; Dempster-Shafer Theory ; Population Monte Carlo ; Stochastic Approximation
Abstract:

The Metropolis-Hastings (MH) algorithm is a powerful tool used to derive most Markov chain Monte Carlo (MCMC) sampling schemes for Bayesian computation. In the past decade, researchers have introduced modifications to the MH algorithm such as Population Monte Carlo (PMC) and Stochastic Approximation Monte Carlo (SAMC) in an attempt to effectively use information from past samples. In the tradition of these methods, the Sample Metropolis-Hastings (SMH) algorithm is a MH-based algorithm which creates updates based on a stored sample of values. Examples and theoretical properties are discussed, and the SMH algorithm is compared to similar methods, such as MH, PMC, and SAMC.


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