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Convergence Diagnostics for Markov Chain Monte Carlo

Open access
Roy, Vivekananda·2020·Annual Review of Statistics and Its Application

Abstract

Markov chain Monte Carlo (MCMC) is one of the most useful approaches to scientific computing because of its flexible construction, ease of use, and generality. Indeed, MCMC is indispensable for performing Bayesian analysis. Two critical questions that MCMC practitioners need to address are where to start and when to stop the simulation. Although a great amount of research has gone into establishing convergence criteria and stopping rules with sound theoretical foundation, in practice, MCMC users often decide convergence by applying empirical diagnostic tools. This review article discusses the most widely used MCMC convergence diagnostic tools. Some recently proposed stopping rules with firm theoretical footing are also presented. The convergence diagnostics and stopping rules are illustrated using three detailed examples.

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Research works printed but not linked: 28

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Metadata

Authors
Roy, V.
Venue
Annual Review of Statistics and Its Application
Published
2020-03-09
Volume
7
Issue
1
Pages
387-412
ISSN
  • 2326-8298 (ISSN-L)
  • 2326-831X
OpenAlex
W2976194262
Cited by
298
References
51
FWCI
3.26
Type
journal article
Language
en
Open access
bronze

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Roy, V. (2020). Convergence Diagnostics for Markov Chain Monte Carlo. Annual Review of Statistics and Its Application. https://doi.org/10.1146/annurev-statistics-031219-041300

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