Profdpm: An R package for MAP estimation in a class of conjugate product partition models

Journal of Statistical Software

Volumn 53, Issue 8, 2013, Pages 1-18

  Shotwell, Matthew S ^a  

^a VANDERBILT UNIVERSITY   (United States)

Author keywords

C; Clustering; Map estimate; Product partition model; R

Indexed keywords

EID: 84878534275     PISSN: 15487660     EISSN: None     Source Type: Journal    
DOI: 10.18637/jss.v053.i08     Document Type: Article

References (30)

1. Antoniak CE (1974). \Mixtures of Dirichlet Processes with Applications to Bayesian Nonparametric Problems. The Annals of Statistics, 2(6), 1152-1174
2. Brry D, Hartigan JA (1992). \Product Partition Models for Change Point Problems. The Annals of Statistics, 20(1), 260-279
3. Bll ET (1934). \Exponential Numbers." The American Mathematical Monthly, 41(7), 411- 419
4. Bei D, Jordan M (2006). \Variational Inference for Dirichlet Process Mixtures." Bayesian Analysis, 1(1), 121-144
5. Bush CA, MacEachern SN (1996). \A Semiparametric Bayesian Model for Randomised Block Designs." Biometrika, 83(2), 275-285
6. Dum_e III H (2007). \Fast Search for Dirichlet Process Mixture Models." In Proceedings of the Eleventh International Conference on Arti_cial Intelligence and Statistics (AIStats), pp. 83-90
7. Dnson DB, Park JH (2008). \Kernel Stick-Breaking Processes." Biometrika, 95(2), 307-323
8. Dnson DB, Xue Y, Carin L (2008). \The Matrix Stick-Breaking Process: Flexible Bayes Meta-Analysis." Journal of the American Statistical Association, 103(481), 317-327
9. Ecobar MD, West M (1995). \Bayesian Density Estimation and Inference Using Mixtures." Journal of the American Statistical Association, 90(430), 577-588
10. Fwlkes EB, Mallows CL (1983). \A Method for Comparing Two Hierarchical Clusterings." Journal of the Americal Statistical Association, 78(383), 553-569
11. Geen PJ, Richardson S (2001). \Modelling Heterogeneity with and without the Dirichlet Process." Scandinavian Journal of Statistics, 28(2), 355-375
12. Grün B, Leisch F (2008). \FlexMix Version 2: Finite Mixtures with Concomitant Variables and Varying and Constant Parameters. Journal of Statistical Software, 28(4), 1-35. URL http://www.jstatsoft.org/v28/i04/
13. Hanson T, McMillan GP (2012). \Scheffé Style Simultaneous Credible Bands for Regression Surfaces with Application to Ache Honey Gathering." Journal of Data Science, 10(2), 175-193
14. Hrtigan JA (1990). \Partition Models." Communications in Statistics, Theory and Methods, 19(8), 2745-2756
15. Hard NA, Holmes CC, Stephens DA (2006). \A Quantitative Study of Gene Regulation Involved in the Immune Response of Anopheline Mosquitoes: An Application of Bayesian Hierarchical Clustering of Curves." Journal of the American Statistical Association, 101(473), 18-28
16. Jin S, Neal RM (2004). \A Split-Merge Markov Chain Monte Carlo Procedure for the Dirichlet Process Mixture Model." Journal of Computational and Graphical Statistics, 13(1), 158-182
17. Jin S, Neal RM (2007). \Splitting and Merging Components of a Nonconjugate Dirichlet Process Mixture Model." Bayesian Analysis, 2(3), 445-472
18. Lu JW, Green PJ (2007). \Bayesian Model-Based Clustering Procedures." Journal of Com- putational and Graphical Statistics, 16(3), 526-558
19. Lnn D, Spiegelhalter D, Thomas A, Best N (2009). \The BUGS Project: Evolution, Critique and Future Directions. Statistics in Medicine, 28, 3049-3082
20. McEachern SN (1994). \Estimating Normal Means with a Conjugate Style Dirichlet Process Prior." Communications in Statistics, Simulation and Computation, 23(3), 727-741
21. McEachern SN, Müller P (1998). \Estimating Mixture of Dirichlet Process Models." Journal of Computational and Graphical Statistics, 7(2), 223-238
22. Rnd WM (1971). \Objective Criteria for the Evaluation of Clustering Methods." Journal of the American Statistical Association, 66(336), 846-850.
23. R Core Team (2013). R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria. URL http://www.R-project.org/.
24. Rodríguez A, Dunson DB, Gelfand AE (2009). \Bayesian Nonparametric Functional Data Analysis through Density Estimation." Biometrika, 96(1), 149-162
25. Rta G (1964). \The Number of Partitions of a Set." The American Mathematical Monthly, 71(5), 498-504
26. Srkar D (2008). lattice: Multivariate Data Visualization with R. Springer-Verlag, New York
27. Shotwell MS, Slate EH (2011). \Bayesian Outlier Detection with Dirichlet Process Mixtures." Bayesian Analysis, 6(4), 1-22
28. Wllace DL (1983). \Comment: A Method for Comparing Two Hierarchical Clusterings." Journal of the American Statistical Association, 78(383), 569-576
29. Wng L, Dunson DB (2010). \Fast Bayesian Inference in Dirichlet Process Mixture Models." Journal of Computational and Graphical Statistics, 20(1), 196-216
30. Wrd JH (1963). \Hierarchical Grouping to Optimize an Objective Function." Journal of the American Statistical Association, 58(301), 236-244.