Bayesian Gaussian copula factor models for mixed data

Journal of the American Statistical Association

Volumn 108, Issue 502, 2013, Pages 656-665

  Murray, Jared S ^a   Dunson, David B ^a   Carin, Lawrence ^b   Lucas, Joseph E ^c  

^a Duke University   (United States)

^b Duke University   (United States)

^c DUKE UNIVERSITY   (United States)

Author keywords

Extended rank likelihood; Factor analysis; High dimensional; Latent variables; Parameter expansion; Semiparametric

Indexed keywords

EID: 84890089590     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.2012.762328     Document Type: Article

References (30)

1. Armagan, A., and Dunson, D. (2011), "Generalized Double Pareto Shrinkage, " arXiv: 1104.0861. [659].
2. Bhattacharya, A., and Dunson, D. B. (2011), "Sparse Bayesian Infinite Factor Models, " Biometrika, 98, 291-306. [664].
3. Carvalho, C. M., Chang, J., Lucas, J. E., Nevins, J. R., Wang, Q., and West, M. (2008), "High-Dimensional Sparse Factor Modeling: Applications in Gene Expression Genomics, " Journal of the American Statistical Association, 103, 1438-1456. [663].
4. Chen, M., Silva, J., Paisley, J., Wang, C., Dunson, D., and Carin, L. (2010), "Compressive Sensing on Manifolds Using a Nonparametric Mixture of Factor Analyzers: Algorithm and Performance Bounds, " IEEE Transactions on Signal Processing, 58, 6140-6155. [656].
5. Dobra, A., and Lenkoski, A. (2011), "Copula Gaussian Graphical Models and Their Application to Modeling Functional Disability Data, " The Annals of Applied Statistics, 5, 969-993. [657,660,663].
6. Dunson, D. (2000), "Bayesian Latent Variable Models for Clustered Mixed Outcomes, " Journal of the Royal Statistical Society, Series B, 62, 355-366. [656].
7. Dunson, D (2003), "Dynamic Latent Trait Models for Multidimensional Longitudinal Data, " Journal of the American Statistical Association, 98, 555-563. [656].
8. Genest, C., Ghoudi, K., and Rivest, L.-P. (1995), "A Semiparametric Estimation Procedure of Dependence Parameters in Multivariate Families of Distributions, " Biometrika, 82, 543-552. [658].
9. Ghahramani, Z., and Beal, M. (2000), "Variational Inference for Bayesian Mixtures of Factor Analysers, " Advances in Neural Information Processing Systems, 12, 449-455. [656].
10. Ghosh, J., and Dunson, D. B. (2009), "Default Prior Distributions and Efficient Posterior Computation in Bayesian Factor Analysis, " Journal of Computational and Graphical Statistics, 18, 306-320. [660,663].
11. Gu, J., and Ghosal, S. (2009), "Bayesian ROC Curve Estimation Under Binormality Using a Rank Likelihood, " Journal of Statistical Planning and Inference, 139, 2076-2083. [658,664].
12. Hahn, P. Richard, Carvalho, C. M. and Scott, J. G. (2012), "A Sparse Factor Analytic Probit Model for Congressional Voting Patterns, " Journal of the Royal Statistical Society, Series C, 61, 619-635. [657].
13. Hoff, P. (2007), "Extending the Rank Likelihood for Semiparametric Copula Estimation, " The Annals of Applied Statistics, 1, 265-283. [656,658,660,663].
14. Hoff, P., Niu, X., and Wellner, J. (2011), "Information Bounds for Gaussian Copulas, " arXiv: 1110.3572, pp. 1-24. [658].
15. Hult, H., and Lindskog, F. (2002), "Multivariate Extremes, Aggregation and Dependence in Elliptical Distributions, " Advances in Applied Probability, 34, 587-608. [657].
16. Klaassen, C., and Wellner, J. (1997), "Efficient Estimation in the Bivariate Normal Copula Model: Normal Margins Are Least Favourable, " Bernoulli, 3, 55-77. [657,658].
17. Liu, J. S., andWu, Y. N. (1999), "Parameter Expansion for Data Augmentation, " Journal of the American Statistical Association, 94, 1264-1274. [659,660].
18. Lopes, H., and West, M. (2004), "Bayesian Model Assessment in Factor Analysis, " Statistica Sinica, 14, 41-68. [663].
19. Meng, X., and Van Dyk, D. (1999), "Seeking Efficient Data Augmentation Schemes via Conditional and Marginal Augmentation, " Biometrika, 86, 301-320. [659,660,665].
20. Moustaki, I., and Knott, M. (2000), "Generalized Latent Trait Models, " Psychometrika, 65, 391-411. [656].
21. Muthén, B. (1983), "Latent Variable Structural Equation Modeling With Categorical Data, " Journal of Econometrics, 22, 43-65. [656,657].
22. North, D. C., andWeingast, B. R. (1989), "Constitutions and Commitment: The Evolution of Institutions Governing Public Choice in Seventeenth-Century England, " The Journal of Economic History, 49, 803-832. [662].
23. Paisley, J., and Carin, L. (2009), "Nonparametric Factor Analysis With Beta Process Priors, " in Proceedings of the 26th Annual International Conference on Machine Learning-ICML '09, pp. 1-8. [663].
24. Pitt, M., Chan, D., and Kohn, R. (2006), "Efficient Bayesian Inference for Gaussian Copula Regression Models, " Biometrika, 93, 537-554. [657,658].
25. Polson, N., and Scott, J. (2010), "Shrink Globally, Act Locally: Sparse Bayesian Regularization and Prediction, " Bayesian Statistics, 9, 501-538. [659].
26. Quinn, K. M. (2004), "Bayesian Factor Analysis for Mixed Ordinal and Continuous Responses, " Political Analysis, 12, 338-353. [662,664].
27. Sammel, M., Ryan, L., and Legler, J. (1997), "Latent Variable Models for Mixed Discrete and Continuous Outcomes, " Journal of the Royal Statistical Society, Series B, 59, 667-678. [656].
28. Sklar, A. (1959), "Fonctions de répartition à n Dimensions et leurs Marges, " [Distribution Functions in n Dimensions and their Margins], Publications de l'Institut de Statistique de l'Université de Paris, 8, 229-231. [657].
29. Song, X.-Y., Pan, J.-H., Kwok, T., Vandenput, L., Ohlsson, C., and Leung, P.-C. (2010), "A Semiparametric Bayesian Approach for Structural Equation Models, " Biometrical Journal. Biometrische Zeitschrift, 52, 314-332. [656].
30. Yang, M., and Dunson, D. B. (2010), "Bayesian Semiparametric Structural Equation Models With Latent Variables, " Psychometrika, 75, 675-693. [656].