Time-varying additive models for longitudinal data

Journal of the American Statistical Association

Volumn 108, Issue 503, 2013, Pages 983-998

  Zhang, Xiaoke ^a   Park, Byeong U ^b   Wang, Jane Ling ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b Seoul National University   (South Korea)

Author keywords

Functional data; Local linear smoothing; Oracle property; Smooth backfitting

Indexed keywords

EID: 84890102885     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.2013.778776     Document Type: Article

References (25)

1. Berhane, K., and Tibshirani, R. J. (1998), "Generalized Additive Models for Longitudinal Data, " The Canadian Journal of Statistics, 26, 517-535. [983].
2. Buja, A., Hastie, T., and Tibshirani, R. (1989), "Linear Smoothers and Additive Models, " The Annals of Statistics, 17, 453-555. [983].
3. Carroll, R. J., Maity, A., Mammen, E., and Yu, K. (2009), "Nonparametric Additive Regression for Repeatedly Measured Data, " Biometrika, 96, 383-398. [983].
4. Chmiel, J. S., Detels, R., Kaslow, R. A., van Raden, M., Kingsley, L. A., and Brookmeyer, R. (1987), "Factors Associated With Prevalent Human Immunodeficiency Virus (HIV) Infection in the Multicenter AIDS Cohort Study, " American Journal of Epidemiology, 126, 568-577. [991].
5. Fan, J., Härdle, W., and Mammen, E. (1998), "Direct Estimation of Low-Dimensional Components in Additive Models, " The Annals of Statistics, 26, 943-971. [983].
6. Hall, P., Müller, H., and Wang, J. (2006), "Properties of Principal Component Methods for Functional and Longitudinal Data Analysis, " The Annals of Statistics, 34, 1493-1517. [984].
7. Jiang, C.-R., and Wang, J.-L. (2010), "Covariate Adjusted Functional Principal Components Analysis for Longitudinal Data, " The Annals of Statistics, 38, 1194-1226. [984,989,995].
8. Jiang, C.-R., and Wang, J.-L (2011), "Functional Single Index Models for Longitudinal Data, " The Annals of Statistics, 39, 362-388. [984].
9. Lee, Y., Mammen, E., and Park, B. (2012), "Projection-Type Estimation for Varying Coefficient Regression Models, " Bernoulli, 18, 177-205. [989].
10. Li, Y., and Hsing, T. (2010), "Uniform Convergence Rates for Nonparametric Regression and Principal Component Analysis in Functional/Longitudinal Data, " The Annals of Statistics, 38, 3321-3351. [984].
11. Lin, X., and Carroll, R. (2000), "Nonparametric Function Estimation for Clustered Data When the Predictor isMeasuredWithout/With Error, " Journal of the American Statistical Association, 520-534. [985].
12. Lin, X., and Zhang, D. (1999), "Inference in Generalized Additive Mixed Models by Using Smoothing Splines, " Journal of the Royal Statistical Society, Series B, 61, 381-400. [983].
13. Linton, O. B. (1997), "Efficient Estimation of Additive Nonparametric Regression Models, " Biometrika, 84, 469-473. [983].
14. Linton, O. B., and Nielsen, J. P. (1995), "A Kernel Method of Estimating Structured Nonparametric Regression Based on Marginal Integration, " Biometrika, 82, 93-100. [983].
15. Mammen, E., Linton, O. B., and Nielsen, J. P. (1999), "The Existence and Asymptotic Properties of a Backfitting Projection Algorithm Under Weak Conditions, " The Annals of Statistics, 27, 1443-1490. [983,984,985,995,996,997].
16. Opsomer, J. D. (2000), "Asymptotic Properties of Backfitting Estimators, " Journal of Multivariate Analysis, 73, 166-179. [983].
17. Opsomer, J. D., and Ruppert, D. (1997), "Fitting a Bivariate Additive Model by Local Polynomial Regression, " The Annals of Statistics, 25, 186-211. [983].
18. Rice, J. A., and Silverman, B.W. (1991), "Estimating the Mean and Covariance Structure Nonparametrically When the Data are Curves, " Journal of the Royal Statistical Society, Series B, 53, 233-243. [989].
19. Stone, C. J. (1985), "Additive Regression and Other Nonparametric Models, " The Annals of Statistics, 13, 689-705. [983].
20. Wang, L., and Yang, L. (2007), "Spline-Backfitted Kernel Smoothing of Nonlinear Additive Autoregression Model, " The Annals of Statistics, 35, 2474-2503. [983].
21. Wang, J. and Yang, L. (2009), "Efficient and Fast Spline-Backfitted Kernel Smoothing of Additive Models, " Annals of the Institute of Statistical Mathematics, 61, 663-690. [983].
22. Xue, L., Qu, A., and Zhou, J. (2010), "ConsistentModel Selection for Marginal Generalized Additive Model for Correlated Data, " Journal of the American Statistical Association, 105, 1518-1530. [983].
23. Yao, F., Müller, H.-G., and Wang, J.-L. (2005), "Functional Data Analysis for Sparse Longitudinal Data, " Journal of the American Statistical Association, 100, 577-590. [995].
24. You, J., and Zhou, H. (2007), "Two-Stage Efficient Estimation of Longitudinal Nonparametric Additive Models, " Statistics & Probability Letters, 77, 1666-1675. [983].
25. Yu, K., Park, B. U., and Mammen, E. (2008), "Smooth Backfitting in Generalized Additive Models, " The Annals of Statistics, 36, 228-260. [985].