Robust estimation of the generalised partial linear model with missing covariates

References

• Cantoni , E. 2004 . A Robust Approach to Longitudinal Data Analysis . Canadian Journal of Statistics , 32 ( 2 ) : 169 – 180 .
   Web of Science ®Google Scholar
• Cantoni , E. and Ronchetti , E. 2001 . Robust Inference for Generalized Linear Models . Journal of the American Statistical Association , 96 ( 455 ) : 1022 – 1030 .
   Web of Science ®Google Scholar
• Harrell , F. E. 2001 . Regression Modeling Strategies with Applications to Linear Models, Logistic Regression, and Survival Analysis , New York : Springer-Verlag .
   Google Scholar
• 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 ( 472 ) : 1176 – 1184 .
   Web of Science ®Google Scholar
• Huang , J. Z. , Zhang , L. and Zhou , L. 2007 . Efficient Estimation in Marginal Partially Linear Models for Longitudinal/Clustered Data Using Spline . Scandinavian Journal of Statistics , 34 ( 3 ) : 451 – 477 .
   Web of Science ®Google Scholar
• Ibrahim , J. G. 1990 . Incomplete Data in Generalized Linear Models . Journal of the American Statistical Association , 85 ( 411 ) : 765 – 769 .
   Web of Science ®Google Scholar
• Liang , H. 2008 . Generalized Partially Linear Models with Missing Covariates . Journal of Multivariate Analysis , 99 ( 5 ) : 880 – 895 .
   PubMed Web of Science ®Google Scholar
• Liang , H. , Wang , S. J. , Robins , J. and Carroll , R. J. 2004 . Estimation in Partially Linear Models with Missing Covariates . Journal of the American Statistical Association , 99 ( 466 ) : 357 – 367 .
   Web of Science ®Google Scholar
• Lin , X. H. and Carroll , R. J. 2006 . Semiparametric Estimation in General Repeated Measures Problems . Journal of Royal Statistical Society, Series B , 68 ( 1 ) : 69 – 88 .
   Google Scholar
• Lipsitz , S. R. and Ibrahim , J. G. 1996 . A Conditional Model for Incomplete Covariates in Parametric Regression Models . Biometrika , 83 ( 4 ) : 916 – 922 .
   Web of Science ®Google Scholar
• Little , R. J.A. and Rubin , D. B. 2002 . Statistical Analysis with Missing Data , 2 , New York : Wiley .
   Google Scholar
• Müller , M. 2001 . Estimation and Testing in Generalized Partial Linear Models-a Comparative Study . Statistics and Computing , 11 ( 4 ) : 299 – 309 .
   Web of Science ®Google Scholar
• Preisser , J. S. and Qaqish , B. F. 1999 . Robust Regression for Clustered Data with Application to Binary Responses . Biometrics , 55 ( 2 ) : 574 – 579 .
   PubMed Web of Science ®Google Scholar
• Qin , G. Y. and Zhu , Z. Y. 2009 . Robustified Maximum Likelihood Estimation in Generalized Partial Linear Mixed Model for Longitudinal Data . Biometrics , 65 ( 1 ) : 52 – 59 .
   PubMed Web of Science ®Google Scholar
• Robins , J. M. , Rontnitzky , A. and Zhao , L. P. 1994 . Estimation of Regression Coefficients When Some Regressors are not Always Observed . Journal of the American Statistical Association , 89 ( 427 ) : 846 – 866 .
   Web of Science ®Google Scholar
• Rousseeuw , P. J. and van Zomerem , B. C. 1990 . Unmasking Multivariate Outliers and Leverage Points . Journal of the American Statistical Association , 85 ( 411 ) : 633 – 639 .
   Web of Science ®Google Scholar
• Salibian-Barrera , M. 2003 . “ Fast and Stable BootstrapMethods for Robust Estimates ” . In Computing Science and Statistics , Edited by: Wegman , E. and Braverman , A. Vol. 34 , 346 – 359 . Fairfax Station , VA : Interface Foundation of North America, Inc. .
   Google Scholar
• Schumaker , L. L. 1981 . Spline Functions , New York : Wiley .
   Google Scholar
• Wang , Y. G. , Lin , X. , Zhu , M. and Bai , Z. 2007 . Robust Estimation Using the Huber Function with a Data-Dependent Tuning Constant . Journal of Computational and Graphical Statistics , 16 ( 2 ) : 468 – 481 .
   Web of Science ®Google Scholar
• Wang , C. Y. , Wang , S. J. , Zhao , L. P. and Ou , S. T. 1997 . Weighted Semiparametric Estimation in Regression Analysis Regression with Missing Covariates Data . Journal of the American Statistical Association , 99 ( 438 ) : 512 – 525 .
   Web of Science ®Google Scholar
• 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 ( 1 ) : 101 – 117 .
   Google Scholar
• Zhao , L. P. , Lipsitz , S. and Lew , D. 1996 . Regression Analysis with Missing Covariate Data Using Estimating Equations . Biometrics , 52 ( 4 ) : 1165 – 1182 .
   PubMed Web of Science ®Google Scholar