Delayed rejection in reversible jump Metropolis-Hastings

Biometrika

Volumn 88, Issue 4, 2001, Pages 1035-1053

  Green, Peter J ^a   Mira, Antonietta ^b  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

^b UNIVERSITY OF INSUBRIA   (Italy)

Author keywords

Adaptive; Changepoint; Efficiency of Markov chain Monte Carlo estimation; Integrated autocorrelation time; Peskun ordering

Indexed keywords

EID: 0042908796     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/88.4.1035     Document Type: Article

References (11)

1. GEYER, C. J. (1991). Markov chain Monte Carlo maximum likelihood. In Computing Science and Statistics: Proceedings of the 23rd Symposium on the Interface, Ed. E. M. Keramidas, pp. 156-63. Fairfax Station, VA: Interface Foundation.
2. GREEN, P. J. (1995). Reversible jump Markov chain Monte Carlo computation and Bayesian model determination. Biometrika 82, 711-32.
3. GREEN, P. J. (2001). A primer on Markov chain Monte Carlo. In Complex Stochastic Systems, Ed. O. E. Barndorff-Nielsen, D. R. Cox and C. Klüppelberg, pp. 1-62. London: Chapman and Hall.
4. HASTINGS, W. K. (1970). Monte Carlo sampling methods using Markov chains and their applications. Biometrika 57, 97-109.
5. MIRA, A. (2001). On Metropolis-Hastings algorithms with delayed rejection. Metron 59. To appear.
6. MOOLEY, D. A. (1981). Applicability of the Poisson probability model to the severe cyclonic storms striking the coast around the Bay of Bengal, Sankhyā B 43, 187-97.
7. PESKUN, P. H. (1973). Optimum Monte Carlo sampling using Markov chains. Biometrika 60, 607-12.
8. ROBERTS, G. O., GELMAN, A. & GILKS, W. R. (1997). Weak convergence and optimal scaling of random walk Metropolis algorithms. Ann. Appl. Prob. 7, 110-20.
9. SOKAL, A. D. (1989). Monte Carlo Methods in Statistical Mechanics: Foundations and New Algorithms. Lausanne: Cours de Troisième Cycle de la Physique en Suisse Romande.
10. TIERNEY, L. (1998). A note on Metropolis-Hastings kernels for general state spaces. Ann. Appl. Prob. 8, 1-9.
11. TIERNEY, L. & MIRA, A. (1999). Some adaptive Monte Carlo methods for Bayesian inference. Statist. Med. 18, 2507-15.