Robustified maximum likelihood estimation in generalized partial linear mixed model for longitudinal data

Biometrics

Volumn 65, Issue 1, 2009, Pages 52-59

  Qin, Guo You ^a   Zhu, Zhong Yi ^a  

^a FUDAN UNIVERSITY   (China)

Author keywords

Mixed model; Partial linear model; Penalized spline; Robustness; Variance components

Indexed keywords

MULTIVARIANT ANALYSIS;

LINEAR MIXED MODELS; LONGITUDINAL DATA; MAXIMUM-LIKELIHOOD ESTIMATION; MIXED MODELING; PARTIAL LINEAR MODELS; PENALIZED SPLINES; ROBUST ESTIMATION; ROBUST ESTIMATORS; ROBUSTNESS; VARIANCE COMPONENTS;

MAXIMUM LIKELIHOOD ESTIMATION;

DATA INTERPRETATION; MAXIMUM LIKELIHOOD ANALYSIS; NUMERICAL METHOD; NUMERICAL MODEL; SIMULATION; VARIANCE ANALYSIS;

ANALYTICAL PARAMETERS; ARTICLE; BIOMETRY; CONTROLLED STUDY; LINEAR SYSTEM; LONGITUDINAL STUDY; MAXIMUM LIKELIHOOD METHOD; STATISTICAL MODEL; VARIANCE;

EID: 62749166430     PISSN: 0006341X     EISSN: 15410420     Source Type: Journal    
DOI: 10.1111/j.1541-0420.2008.01050.x     Document Type: Article

References (17)

1. Boente, G., He, X., and Zhou, J. (2006). Robust estimates in generalized partially linear models. The Annals of Statistics 34, 2856 2878.
2. Cantoni, E. and Ronchetti, E. (2001). Robust inference for generalized linear models. Journal of the American Statistical Association 96, 1022 1030.
3. Carroll, R. J. (2003). Variances are not always nuisance parameters. Biometrics 59, 211 220.
4. Eiler, P. H. C. and Marx, B. (1996). Flexible smoothing with B-splines and penalties (with discussion). Statistical Science 11, 89 121.
5. He, X., Zhu, Z. Y., and Fung, W. K. (2002). Estimation in a semiparametric model for longitudinal data with unspecified dependence structure. Biometrika 89, 579 590.
6. He, X., Fung, W. K., and Zhu, Z. Y. (2005). Robust estimation in generalized partial linear models for clustered data. Journal of the American Statistical Association 100, 1176 1184.
7. Kuk, A. Y. C. (1995). Asymptotically unbiased estimation in generalized linear models with random effects. Journal of the Royal Statistical Society, Series B 57, 395 407.
8. Lin, X. and Carroll, R. J. (2001). Semiparametric regression for clustered data using generalized estimating equations. Journal of the American Statistical Association 96, 1045 1056.
9. Mills, J. E., Field, C. A., and Dupuis, D. J. (2002). Marginally specified generalized linear mixed models: A robust approach. Biometrics 58, 727 734.
10. Preisser J. S. and Qaqish B. F. (1999). Robust regression for clustered data with application to binary responses. Biometrics 55, 574 579.
11. Qin, G. Y. and Zhu, Z. Y. (2007). Robust estimation in generalized semiparametric mixed model for longitudinal data. Journal of Multivariate Analysis 98, 1658 1683.
12. Qu, A. and Song, P. X. K. (2004). Assessing robustness of generalised estimating equations and quadratic inference functions. Biometrika 91, 447 459.
13. Sinha, S. K. (2004). Robust analysis of generalized linear mixed models. Journal of the American Statistical Association 99, 451 460.
14. Wang, Y. G., Lin, X., and Zhu, M. (2005). Robust estimation functions and bias correction for longitudinal data analysis. Biometrics 61, 684 691.
15. Yau, K. K. W. and Kuk, A. Y. C. (2002). Robust estimation in generalized linear mixed models. Journal of the Royal Statistical Society, Series B 64, 101 117.
16. Yu, Y. and Ruppert, D. (2002). Penalized spline estimation for partially linear single index models. Journal of the American Statistical Association 97, 1042 1054.
17. Yuan, K.-H. and Jennrich, R. I. (1998). Asymptotics of estimating equations under natural conditions. Journal of Multivariate Analysis 65, 245 260.