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Cited by 989

The DOI matches its Crossref record; 17 of the 17 references it cites were found in a registry or an index.

Bayesian Model Choice Via Markov Chain Monte Carlo Methods

Carlin, Bradley P., Chib, Siddhartha·1995·Journal of the Royal Statistical Society Series B: Statistical Methodology

Abstract

SUMMARY: Markov chain Monte Carlo (MCMC) integration methods enable the fitting of models of virtually unlimited complexity, and as such have revolutionized the practice of Bayesian data analysis. However, comparison across models may not proceed in a completely analogous fashion, owing to violations of the conditions sufficient to ensure convergence of the Markov chain. In this paper we present a framework for Bayesian model choice, along with an MCMC algorithm that does not suffer from convergence difficulties. Our algorithm applies equally well to problems where only one model is contemplated but its proper size is not known at the outset, such as problems involving integer-valued parameters, multiple changepoints or finite mixture distributions. We illustrate our approach with two published examples.

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Cites

Show all 17 references

Research works printed but not linked: 10

  1. Albert, 1993, Bayesian model checking for binary and categorical response data
  2. Efron, 1984, Comparing non-nested linear models, J. Am. Statist. Ass., 79, 791, 10.1080/01621459.1984.10477096 · doi:10.1080/01621459.1984.10477096
  3. Evans, 1992, Numerical aspects in estimating the parameters of a mixture of normal distributions, J. Comput. Graph. Statist., 1, 351, 10.1080/10618600.1992.10474590 · doi:10.1080/10618600.1992.10474590
  4. Green, 1994, A Bayesian analysis of the multiple change-point problem for a Poisson process
  5. Kass, 1995, Bayes factors and model uncertainty
  6. McCulloch, 1994, Bayesian analysis of threshold autoregressive processes with a random number of regimes, 253
  7. Postman, 1986, Probes of large-scale structures in the Corona Borealis region, Astron. J., 92, 1238, 10.1086/114257 · doi:10.1086/114257
  8. West, 1992, Modelling with mixtures (with discussion), 503, 10.1093/oso/9780198522669.003.0028 · doi:10.1093/oso/9780198522669.003.0028
  9. West, 1993, Predictions for finite populations under biased sampling
  10. Williams, 1959, Regression Analysis.

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Metadata

Authors
Carlin, B. P., & Chib, S.
Venue
Journal of the Royal Statistical Society Series B: Statistical Methodology
Published
1995-09-01
Volume
57
Issue
3
Pages
473-484
ISSN
  • 1369-7412 (ISSN-L)
  • 1467-9868
OpenAlex
W1582801283
Cited by
989
References
17
FWCI
15.62
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Bayesian Model Choice Via Markov Chain Monte Carlo Methods. https://app.cochat.ai/papers/10.1111/j.2517-6161.1995.tb02042.x
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Carlin, B. P., & Chib, S. (1995). Bayesian Model Choice Via Markov Chain Monte Carlo Methods. Journal of the Royal Statistical Society Series B: Statistical Methodology. https://doi.org/10.1111/j.2517-6161.1995.tb02042.x

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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