Dependent mixture models: Clustering and borrowing information

Computational Statistics and Data Analysis

Volumn 71, Issue , 2014, Pages 417-433

  Lijoi, Antonio ^a,c   Nipoti, Bernardo ^b,c   Prünster, Igor ^b,c  

^a UNIVERSITY OF PAVIA   (Italy)

^b UNIVERSITY OF TURIN   (Italy)

^c Collegio Carlo Alberto ^*  (Italy)

Author keywords

Bayesian nonparametrics; Dependent process; Dirichlet process; Generalized P lya urn scheme; Mixture models; Normalized stable process; Partially exchangeable random partition

Indexed keywords

BAYESIAN NONPARAMETRICS; DEPENDENT PROCESS; DIRICHLET PROCESS; MIXTURE MODEL; RANDOM PARTITIONS; STABLE PROCESS;

STABILITY CRITERIA;

MIXTURES;

EID: 84889089850     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2013.06.015     Document Type: Article

References (29)

1. Cifarelli, D.M., Regazzini, E., 1978. Problemi statistici non parametrici in condizioni di scambiabilità parziale. Quaderni Istituto Matematica Finanziaria, Università di Torino Serie III, 12.
2. D.J. Daley, and D. Vere-Jones An Introduction to the Theory of Point Processes 1988 Springer New York
3. B. de Finetti Sur la Condition d'Equivalence Partielle Actualités Scientifiques et Industrielles vol. 739 1938 Herman Paris 5 18
4. R.M. Dorazio, B. Mukherjee, L. Zhang, M. Ghosh, H.L. Jelks, and F. Jordan Modeling unobserved sources of heterogeneity in animal abundance using a Dirichlet process prior Biometrics 64 2008 635 644 (Pubitemid 351691906)
5. M.D. Escobar, and M. West Bayesian density estimation and inference using mixtures J. Amer. Statist. Assoc. 90 1995 577 588
6. A.E. Gelfand, and A. Kottas A computational approach for full nonparametric Bayesian inference under Dirichlet process mixture models J. Comput. Graph. Statist. 11 2002 289 305
7. R.C. Griffiths, and R.K. Milne A class of bivariate Poisson processes J. Multivariate Anal. 8 1978 380 395
8. J.A. Hartigan Partition models Comm. Statist. Theory Methods 19 1990 2745 2756
9. S.J. Hatjispyros, T. Nicoleris, and S.G. Walker Dependent mixtures of Dirichlet processes Comput. Statist. Data Anal. 55 2011 2011 2025
10. N.L. Hjort, C.C. Holmes, P. Müller, and S.G. Walker Bayesian Nonparametrics 2010 Cambridge University Press Cambridge
11. H. Ishwaran, and L.F. James Gibbs sampling methods for stick-breaking priors J. Amer. Statist. Assoc. 96 2001 161 173
12. H. Ishwaran, and L.F. James Generalized weighted Chinese restaurant processes for species sampling mixture models Statist. Sinica 13 2003 1211 1235 (Pubitemid 38042014)
13. L.F. James, A. Lijoi, and I. Prünster Conjugacy as a distinctive feature of the Dirichlet process Scand. J. Stat. 33 2006 105 120 (Pubitemid 43428050)
14. L.F. James, A. Lijoi, and I. Prünster Posterior analysis for normalized random measures with independent increments Scand. J. Stat. 36 2009 76 97
15. A. Jara, T. Hanson, F.A. Quintana, P. Müller, and G. Rosner DPpackage: Bayesian non- and semi-parametric Modelling in R J. Stat. Softw. 40 2011 1 30
16. L. Leon-Novelo, B. Nebiyou Bekele, P. Müller, F.A. Quintana, and K. Wathen Borrowing strength with non-exchangeable priors over subpopulations Biometrics 68 2012 550 558
17. A. Lijoi, R.H. Mena, and I. Prünster Hierarchical mixture modelling with normalized inverse Gaussian priors J. Amer. Statist. Assoc. 100 2005 1278 1291 (Pubitemid 41801275)
18. A. Lijoi, R.H. Mena, and I. Prünster Controlling the reinforcement in Bayesian non-parametric mixture models J. R. Stat. Soc. Ser. B 69 2007 715 740
19. A. Lijoi, R.H. Mena, and I. Prünster Bayesian nonparametric estimation of the probability of discovering new species Biometrika 94 2007 769 786
20. A. Lijoi, B. Nipoti, and I. Prünster Bayesian inference via dependent normalized completely random measures Bernoulli 2013 10.3150/13-BEJ521
21. A. Lijoi, and I. Prünster Models beyond the Dirichlet process N.L. Hjort, C.C. Holmes, P. Müller, S.G. Walker, Bayesian Nonparametrics 2010 Cambridge University Press Cambridge 80 136
22. A. Lo On a class of Bayesian nonparametric estimates. I. Density estimates Ann. Statist. 12 1984 351 357
23. S.N. MacEachern Dependent nonparametric processes ASA Proceedings of the Section on Bayesian Statistical Science 1999 American Statistical Association Alexandria, VA
24. S.N. MacEachern Dependent Dirichlet processes. Technical Report 2000 Ohio State University
25. P. Müller, F.A. Quintana, and G. Rosner A method for combining inference across related nonparametric Bayesian models J. R. Stat. Soc. Ser. B Stat. Methodol. 66 2004 735 749 (Pubitemid 39015910)
26. P. Müller, F.A. Quintana, and G.L. Rosner A product partition model with regression on covariates J. Comput. Graph. Statist. 20 2011 260 278
27. Nipoti, B., 2011. Dependent completely random measures and statistical applications. Ph.D. Thesis. Department of Mathematics, University of Pavia.
28. S. Petrone, and A.E. Raftery A note on the Dirichlet process prior in Bayesian nonparametric inference with partial exchangeability Statist. Probab. Lett. 36 1997 69 83
29. E. Regazzini, A. Lijoi, and I. Prünster Distributional results for means of random measures with independent increments Ann. Statist. 31 2003 560 585