The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Updating Schemes, Correlation Structure, Blocking and Parameterization for the Gibbs Sampler
Open accessAbstract
Summary: In this paper many convergence issues concerning the implementation of the Gibbs sampler are investigated. Exact computable rates of convergence for Gaussian target distributions are obtained. Different random and non-random updating strategies and blocking combinations are compared using the rates. The effect of dimensionality and correlation structure on the convergence rates are studied. Some examples are considered to demonstrate the results. For a Gaussian image analysis problem several updating strategies are described and compared. For problems in Bayesian linear models several possible parameterizations are analysed in terms of their convergence rates characterizing the optimal choice.
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Citations
Cites
Bayesian computation via the Gibbs sampler and related Markov chain Monte Carlo methods
Smith, A. F. M., & Roberts, G. O. (1993) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1993.tb01466.x · Cited by 1,713
Self-citation
Cited by
Markov chain Monte Carlo method and its application
Brooks, S. (1998) · Journal of the Royal Statistical Society: Series D (The Statistician) · doi:10.1111/1467-9884.00117 · Cited by 843
The EM Algorithm—an Old Folk-song Sung to a Fast New Tune
Meng, X.-L., & Van Dyk, D. (1997) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/1467-9868.00082 · Cited by 802
The pseudo-marginal approach for efficient Monte Carlo computations
Andrieu, C., & Roberts, G. O. (2009) · The Annals of Statistics · doi:10.1214/07-aos574 · Cited by 687
Self-citationA comparison of Bayesian and likelihood-based methods for fitting multilevel models
Browne, W. J., & Draper, D. (2006) · Bayesian Analysis · doi:10.1214/06-ba117 · Cited by 603
Rouder, J. N., & Lu, J. (2005) · Psychonomic Bulletin & Review · doi:10.3758/bf03196750 · Cited by 419
Metadata
- Authors
- Roberts, G. O., & Sahu, S. K.
- Venue
- Journal of the Royal Statistical Society Series B: Statistical Methodology
- Publisher
- Oxford University Press (OUP)
- Published
- 1997-07-01
- Volume
- 59
- Issue
- 2
- Pages
- 291-317
- ISSN
- 1369-7412 (ISSN-L)
- 1467-9868
- OpenAlex
- W2101517901
- Cited by
- 409
- References
- 1
- FWCI
- 11.54
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Roberts, G. O., & Sahu, S. K. (1997). Updating Schemes, Correlation Structure, Blocking and Parameterization for the Gibbs Sampler. Journal of the Royal Statistical Society Series B: Statistical Methodology. https://doi.org/10.1111/1467-9868.00070
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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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