A Bayesian regression model for multivariate functional data

Computational Statistics and Data Analysis

Volumn 53, Issue 11, 2009, Pages 3773-3786

  Rosen, Ori ^a   Thompson, Wesley K ^b  

^a UNIVERSITY OF TEXAS AT EL PASO   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BAYESIAN; BAYESIAN REGRESSION; COVARIATES; CUBIC SPLINE; FUNCTIONAL DATA; MARKOV CHAIN MONTE CARLO METHOD; MEAN FUNCTIONS; ORNSTEIN-UHLENBECK PROCESS; RADIAL BASIS FUNCTIONS; RANDOM EFFECTS; RANDOM PARTS; SUBJECT-SPECIFIC;

BAYESIAN NETWORKS; MARKOV PROCESSES; MEDICAL IMAGING; MONTE CARLO METHODS; RADIAL BASIS FUNCTION NETWORKS; REGRESSION ANALYSIS;

MULTIVARIANT ANALYSIS;

EID: 67349229232     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2009.03.026     Document Type: Article

References (24)

1. Aït-Sahalia Y. Closed-form likelihood expansions for multivariate diffusions. Annals of Statistics 36 (2008) 906-937
2. Baladandayuthapani V., Mallick B.K., Young Hong M., Lupton J.R., Turner N.D., and Carroll R.J. Bayesian hierarchical spatially correlated functional data analysis with application to colon carcinogenesis. Biometrics 64 (2008) 64-73
3. Beskos A., Papaspiliopoulos O., Roberts G.O., and Fearnhead P. Exact and computationally efficient likelihood-based estimation for discretely observed diffusion processes. Journal of Royal Statistical Society B 68 (2006) 333-382
4. Blackwell P.G. Bayesian inference for Markov processes with diffusion and discrete components. Biometrika 90 (2003) 613-627
5. Durbán M., Harezlak J., Wand M.P., and Carroll R.J. Simple fitting of subject-specific curves for longitudinal data. Statistics in Medicine 24 (2005) 1153-1167
6. Cassano G.B., Michelini S., Shear M.K., Coli E., Maser J.D., and Frank E. The panic-agoraphobic spectrum: A descriptive approach to the assessment and treatment of subtle symptoms. American Journal of Psychiatry 154 (1997) 27-38
7. De la Cruz-Mesía R., and Marshall G. A Bayesian approach for nonlinear regression models with continuous errors. Communications in Statistics, Theory and Methods 32 (2003) 1631-1646
8. De la Cruz-Mesía R., and Marshall G. Nonlinear random effects models with continuous time autoregressive errors. Statistics in Medicine 25 (2006) 1471-1484
9. Frank E., Cassano G.B., Rucci P., Fagiolini A., Maggi L., Kraemer H.C., Kupfer D.J., Pollock B., Bies R., Nimgaonkar V., Pilkonis P., Shear M.K., Thompson W.K., Grochocinski V.J., Scocco P., Buttenfield J., and Forgione R.N. Addressing the challenges of a cross-national investigation: lessons from the Pittsburgh-Pisa study of treatment-relevant phenotypes of unipolar depression. Clinical Trials (2008) under revision
10. French J.L., Kammann E.E., and Wand M.P. Comment on "Semiparametric Nonlinear Mixed-effects Models and Their Application" by C. Ke and Y. Wang. Journal of American Statistical Association 96 (2001) 1285-1288
11. Gardiner C.W. Handbook of Stochastic Methods for Physics, Chemistry and Natural Sciences (1983), Springer-Verlag, Berlin
12. Gelman A. Prior distributions for variance parameters in hierarchical models (comment on article by Browne and Draper). Bayesian Analysis 1 (2006) 515-534
13. Gelman A., Carlin J.B., Stern H.S., and Rubin D.B. Bayesian Data Analysis. Second ed. (2004), Chapman & Hall/CRC, Boca Raton
14. Golightly A., and Wilkinson D.J. Bayesian sequential inference for nonlinear multivariate diffusions. Statistics and Computing 16 (2006) 323-338
15. Guo W. Functional mixed effects models. Biometrics 58 (2002) 121-128
16. Jones R.H. Longitudinal Data with Serial Correlation: A State-Space Approach (1993), Chapman & Hall/CRC, Boca Raton
17. Kessler M., and Rahbek A. Identification and inference for multivariate cointegrated and ergodic gaussian diffusions. Statistical Inference for stochastic Processes 7 (2004) 137-151
18. Rosen O., and Stoffer D.S. Automatic estimation of multivariate spectra via smoothing splines. Biometrika 94 (2007) 335-345
19. Ruppert D., Wand M.P., and Carroll R.J. Semiparametric Regression (2003), Cambridge University Press, Cambridge
20. Smith M., and Kohn R. Nonparametric seemingly unrelated regression. Journal of Econometrics 98 (2000) 257-281
21. Smith M., and Kohn R. Parsimonious covariance matrix estimation for longitudinal data. J. American Statistical Association 97 (2002) 1141-1153
22. Sy J.P., Taylor J.M.G., and Cumberland W.G. A stochastic model for the analysis of bivariate longitudinal AIDS data. Biometrics 53 (1997) 542-555
23. Thompson W.K., and Rosen O. A Bayesian model for sparse functional data. Biometrics 64 (2008) 54-63. http://www.tibs.org/biometrics Web appendices are available at http://www.tibs.org/biometrics
24. Zhao Y., Staudenmayer J., Coull B.A., and Wand M.P. General design Bayesian generalized linear mixed models. Statistical Science 21 (2006) 35-51