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Activity Number: 419 - Bayesian Computation and Spatial Modeling
Type: Contributed
Date/Time: Tuesday, July 31, 2018 : 2:00 PM to 3:50 PM
Sponsor: Section on Bayesian Statistical Science
Abstract #329507 Presentation
Title: A New Diagnostic for MCMC Output Analysis
Author(s): Nathan Lane Robertson* and James Flegal
Companies: University of California, Riverside and University of California, Riverside
Keywords: MCMC; Markov Chain Monte Carlo; Sequential Stopping Rules
Abstract:

In MCMC sampling one samples from an approximate target distribution to generate strongly consistent estimates of a target parameter. One question that garners attention in any sampling procedure is how many samples should be drawn? Sequential stopping rules provide asymptotically valid stopping times based on confidence intervals in when there exist a MCMC central limit theorem. Recent advancements have provided multivariate sequential stopping rules for expectations of multivariate target distributions based on confidence regions. This work extends these results to multivariate sequential stopping rules for more general parameter estimation.


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