Nonparametric Bayesian estimation of a bivariate density with interval censored data

Computational Statistics and Data Analysis

Volumn 52, Issue 12, 2008, Pages 5202-5214

  Yang, Mingan ^a   Hanson, Timothy ^b   Christensen, Ronald ^c  

^a NATIONAL INSTITUTE OF ENVIRONMENTAL HEALTH SCIENCES   (United States)

^b UNIVERSITY OF MINNESOTA   (United States)

^c UNIVERSITY OF NEW MEXICO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BAYESIAN NETWORKS; ESTIMATION; PARAMETER ESTIMATION; TREES (MATHEMATICS);

BAYESIAN; BAYESIAN ESTIMATIONS; BIVARIATE; INTERVAL CENSORED DATA; NON-PARAMETRIC; NON-PARAMETRIC ESTIMATIONS; NONPARAMETRIC MAXIMUM LIKELIHOOD; SIMULATED DATA;

MAXIMUM LIKELIHOOD ESTIMATION;

EID: 47749140733     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2008.04.022     Document Type: Article

References (21)

1. Betensky R.A., and Finkelstein D.M. A nonparametric maximum likelihood estimator for bivariate interval censored data. Statistics in Medicine 18 (1999) 3089-3100
2. Berger J.O., and Guglielmi A. Bayesian testing of a parametric model versus nonparametric alternatives. Journal of the American Statistical Association 96 (2001) 174-184
3. Bogaerts K., Leroy R., Lesaffre E., and Declerck D. Modelling tooth emergence data based on multivariate interval-censored data. Statistics in Medicine 21 (2002) 3775-3787
4. Bulla P., Muliere P., and Walker S. Bayesian nonparametric estimation of a bivariate survival function. Statistics Sinica 17 (2007) 427-444
5. Geisser S. Bayesian estimation in multivariate analysis. Annals of Mathematical Statistics 36 (1965) 150-159
6. Gentleman R., and Geyer C.J. Maximum likelihood for interval censored data: Consistency and computation. Biometrika 81 (1994) 618-623
7. Geweke J. Efficient simulation from the multivariate normal and Student-t distributions subject to linear constraints. In: Keramidas E.M. (Ed). Computing Science and Statistics: Proceedings of the 23rd Symposium on the Interface (1991), Interface Foundation of North America, Fairfax, VA 571-578
8. Ghosh J.K., Hjort N.L., Messan C., and Ramamoorthi R.V. Bayesian bivariate survival estimation. Journal of Statistical Planning and Inference 136 (2006) 2297-2308
9. Glynn R., and Rosner B. Multiple imputation to estimate the association between eyes in disease progression with interval-censored data. Statistics in Medicine 23 (2004) 3307-3318
10. Hanson T. Inference for mixtures of finite Polya tree models. Journal of American Statistical Association 101 (2006) 1548-1565
11. Hanson T., and Yang M. Bayesian semiparametric proportional odds models. Biometrics 63 (2007) 88-95
12. Huster W.J., Brookmeyer R., and Self S.G. Modeling paired survival data with covariates. Biometrics 45 (1989) 145-156
13. Kim Y.M., and Xue X. The analysis of multivariate interval-censored surivival data. Statistics in Medicine 21 (2002) 3715-3726
14. Komarek A., and Lesaffre E. Bayesian semiparametric accelerated failure time models for paired doubly-interval-censored data. Statistical Modelling 6 (2006) 3-22
15. Kooperberg C. Bivariate density estimation with an application to survival analysis. Journal of Computational and Graphical Statistics 7 (1998) 322-341
16. Lo S.H., and Wang J.L. I.I.D. Representations for the bivariate product limit estimators and bootstrap versions. Journal of Multivariate Analysis 28 (1989) 211-226
17. Pan W., and Kooperberg C. Linear regression for bivariate censored data via multiple imputation. Statistics in Medicine 18 (1999) 3111-3121
18. Song X.-Y., and Lee S.-Y. Bayesian estimation and model selection of multivariate linear model with polytomous variables. Multivariate Behavioral Research 37 (2002) 453-477
19. Turnbull B.W. The empirical distribution function with arbitrarily grouped, censored, and truncated data. Journal of the Royal Statistical Society, Series B, Methodological 38 (1976) 290-295
20. Wells M., and Yeo K.M. Density estimation with bivariate censored data. Journal of the American Statistical Association 91 (1996) 1566-1574
21. Yang, M., 2006. Applications of mixture of Polya trees to multivariate survival and ordinal data. Unpublished Ph.D. Thesis. Department of Mathematics and Statistics. University of New Mexico