JSM 2005 - Toronto

Abstract #302784

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 165
Type: Invited
Date/Time: Monday, August 8, 2005 : 2:00 PM to 3:50 PM
Sponsor: IMS
Abstract - #302784
Title: A Quasi-Monte Carlo Metropolis Algorithm
Author(s): Art B. Owen*+
Companies: Stanford University
Address: Sequoia Hall, Stanford, CA, 94305-4020,
Keywords: completely uniformly distributed ; Gibbs sampler ; randomized quasi-Monte Carlo
Abstract:

Recent decades have seen a surge of work in Markov chain Monte Carlo (MCMC) methods and in quasi-Monte Carlo (QMC) methods. MCMC algorithms have greatly expanded the range of problems to which Monte Carlo can be applied. QMC methods have better asymptotic error rates than does plain MC, within logarithmic factors of 1/n or, in some randomized versions, 1/(n sqrt(n)). The published intersection between these two methods is conspicuously small. This talk shows that quasi-Monte Carlo points versions of the Metropolis-Hastings algorithm are consistent for special classes of QMC points known as "completely uniformly distributed." Such point sets may be thought of as the entire period of a small, pseudo-random number generator. This is joint work with Seth Tribble.


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