Pettitt, Anthony and Berthelsen, K. and Moller, J. and Reeves, R. (2006) An efficient Markov chain Monte Carlo method for distributions with intractable normalising constants. Biometrika, 93 (2). pp. 451-458. ISSN 1464-3510
Full text not available from this repository.Abstract
Maximum likelihood parameter estimation and sampling from Bayesian posterior distributions are problematic when the probability density for the parameter of interest involves an intractable normalising constant which is also a function of that parameter. In this paper, an auxiliary variable method is presented which requires only that independent samples can be drawn from the unnormalised density at any particular parameter value. The proposal distribution is constructed so that the normalising constant cancels from the Metropolis-Hastings ratio. The method is illustrated by producing posterior samples for parameters of the Ising model given a particular lattice realisation.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Biometrika |
| Additional Information: | RAE_import_type : Journal article RAE_uoa_type : Statistics and Operational Research |
| Uncontrolled Keywords: | Auxiliary variable method ; Ising model ; Markov chain Monte Carlo ; Metropolis-Hastings algorithm ; Normalising constant ; Partition function |
| Subjects: | Q Science > QA Mathematics |
| Departments: | Faculty of Science and Technology > Mathematics and Statistics |
| ID Code: | 2435 |
| Deposited By: | ep_importer |
| Deposited On: | 31 Mar 2008 10:01 |
| Refereed?: | Yes |
| Published?: | Published |
| Last Modified: | 26 Jul 2012 16:24 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/2435 |
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