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Abstract Details

Activity Number: 347
Type: Contributed
Date/Time: Tuesday, August 3, 2010 : 10:30 AM to 12:20 PM
Sponsor: IMS
Abstract - #308894
Title: Quantile Estimation via Markov Chain Monte Carlo
Author(s): James M. Flegal*+
Companies: University of California, Riverside
Address: 2670 STAT/COMP, Riverside, CA, 92521, United States
Keywords: MCMC ; Standard Errors ; Quantiles
Abstract:

This article considers quantile estimation based on Markov chain Monte Carlo (MCMC) simulations. Quantile estimates are commonly reported to summarize features of a given target distribution, most often in the form of Bayesian credible region endpoints. Using estimates from the inverse of the empirical distribution function, we establish a central limit theorem (CLT) enabling assessment the associated uncertainty. Further, we propose the use of the subsampling bootstrap and regeneration to estimate the associated asymptotic variance. Finally, we investigate the finite sample properties of these methods through three examples and provide recommendations to practitioners.


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