An artificial allocations based solution to the label switching problem in bayesian analysis of mixtures of distributions

Journal of Computational and Graphical Statistics

Volumn 19, Issue 2, 2010, Pages 313-331

  Papastamoulis, Panagiotis ^a   Iliopoulos, George ^a  

^a UNIVERSITY OF PIRAEUS   (Greece)

Author keywords

Data augmentation; Genuine multimodality; Markov chain Monte Carlo; Pivotal Reordering algorithm

Indexed keywords

EID: 77956665562     PISSN: 10618600     EISSN: None     Source Type: Journal    
DOI: 10.1198/jcgs.2010.09008     Document Type: Article

References (17)

1. Carpaneto, P. (1980), "Algorithm 548: Solution of the Assignment Problem," ACM Transactions on Mathematical Software, 6, 104-111. [321]
2. Casella, G., Robert, C. P., and Wells, M. (2004), "Mixture Models Latent Variables and Partitioned Importance Sampling," Statistical Methodology, 1, 1-18. [320]
3. Celeux, G. (1997), Discussion of "On Bayesian Analysis of Mixtures With an Unknown Number of Components," by S. Richardson and P. J. Green, Journal of the Royal Statistical Society, Ser. B, 59, 775-776. [315]
4. Celeux, G., Hurn, M., and Robert, C. P. (2000), "Computational and Inferential Difficulties With Mixture Posterior Distributions," Journal of the American Statistical Association, 95, 957-970. [314-316]
5. Dellaportas, P., and Papageorgiou, I. (2005), "Multivariate Mixtures of Normals With Unknown Number of Components," Statistics and Computing, 16, 57-68. [327,328]
6. Diebolt, J., and Robert, C. P. (1994), "Estimation of Finite Mixture Distributions Through Bayesian Sampling," Journal of the American Statistical Association, 96, 194-209. [314,315]
7. Frühwirth-Schnatter, S. (2001), "Markov Chain Monte Carlo Estimation of Classical and Dynamic Switching and Mixture Models," Journal of the Royal Statistical Society, Ser. B, 56, 363-375. [314,316,319,329]
8. Grün, B., and Leisch, F (2009), "Dealing With Label Switching in Mixture Models Under Genuine Multimodal-ity," Journal of Multivariate Analysis, 100, 851-861. [316,326]
9. Hurn, M., Justel, A., and Robert, C. P. (2003), "Estimating Mixtures of Regressions," Journal of Computational and Graphical Statistics, 12, 55-79. [316]
10. Jasra, A., Holmes, C. C, and Stephens, D. A. (2005), "Markov Chain Monte Carlo Methods and the Label Switching Problem in Bayesian Mixture Modelling," Statistical Science, 20, 50-67. [316,317,326]
11. Marin, J. M., and Robert, C. P. (2007), Bayesian Core: A Practical Approach to Computational Bayesian Statistics, New York: Springer-Verlag. [316]
12. Marin, J. M., Mengersen, K., and Robert, C. P. (2005), "Bayesian Modelling and Inference on Mixtures of Distributions," in Handbook of Statistics, Vol. 25, eds. D. Dey and C. R. Rao, The Netherlands: Elsevier. [315-317,319,320,322,330]
13. Papaspiliopoulos, O., and Roberts, G. O. (2008), "Retrospective Markov Chain Monte Carlo Methods for Dirich-let Process Hierarchical Models," Biometrika, 95, 169-186. [315,321]
14. Richardson, S., and Green, P. J. (1997), "On Bayesian Analysis of Mixtures With an Unknown Number of Components" (with discussion), Journal of the Royal Statistical Society, Ser. B, 59, 731-792. [314,315,323,325,329]
15. Stephens, M. (1997a), "Bayesian Methods for Mixtures of Normal Distributions," Ph.D. dissertation, University of Oxford, Dept. of Statistics. [314-316,326,327]
16. - (1997b), Discussion of "On Bayesian Analysis of Mixtures With an Unknown Number of Components," by S. Richardson and P. J. Green, Journal of the Royal Statistical Society, Ser. B, 59, 768-769. [315]
17. - (2000), "Dealing With Label Switching in Mixture Models," Journal of the Royal Statistical Society, Ser. B, 62, 795-809. [314-316,326,330]