The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
A note on Metropolis-Hastings kernels for general state spaces
Open accessAbstract
The Metropolis-Hastings algorithm is a method of constructing a reversible Markov transition kernel with a specified invariant distribution. This note describes necessary and sufficient conditions on the candidate generation kernel and the acceptance probability function for the resulting transition kernel and invariant distribution to satisfy the detailed balance conditions. A simple general formulation is used that covers a range of special cases treated separately in the literature. In addition, results on a useful partial ordering of finite state space reversible transition kernels are extended to general state spaces and used to compare the performance of two approaches to using mixtures in Metropolis-Hastings kernels.
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Citations
Cites
Equation of State Calculations by Fast Computing Machines
Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H., & Teller, E. (1953) · The Journal of Chemical Physics · doi:10.1063/1.1699114 · Cited by 37,192
Monte Carlo sampling methods using Markov chains and their applications.
Hastings, W. K. (1970) · Biometrika · doi:10.1093/biomet/57.1.97 · Cited by 15,195
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
Cited by
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
The geometric foundations of Hamiltonian Monte Carlo
Betancourt, M., Byrne, S., Livingstone, S., & Girolami, M. (2017) · Bernoulli · doi:10.3150/16-bej810 · Cited by 452
Geometric Ergodicity and Hybrid Markov Chains
Roberts, G., & Rosenthal, J. (1997) · Electronic Communications in Probability · doi:10.1214/ecp.v2-981 · Cited by 317
Delayed rejection in reversible jump Metropolis-Hastings
Green, P. J., & Mira, A. (2001) · Biometrika · doi:10.1093/biomet/88.4.1035 · Cited by 263
Metadata
- Authors
- Tierney, L.
- Venue
- The Annals of Applied Probability
- Publisher
- Institute of Mathematical Statistics
- Published
- 1998-02-01
- Volume
- 8
- Issue
- 1
- Pages
- 1-9
- ISSN
- 1050-5164 (ISSN-L)
- OpenAlex
- W2114964853
- Cited by
- 338
- References
- 3
- FWCI
- 7.01
- Type
- journal article
- Language
- en
- Open access
- bronze
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
