Errors-in-covariates effect on estimating functions: Additivity in limit and nonparametric correction

Statistica Sinica

Volumn 16, Issue 3, 2006, Pages 861-881

  Huang, Yijian ^a,c   Wang, C Y ^b  

^a EMORY UNIVERSITY   (United States)

^b Fred Hutchinson Cancer Research Center   (United States)

^c EMORY UNIVERSITY   (United States)

Author keywords

Cox regression; External data; Functional modeling; Generalized linear model; Logistic regression; Measurement error; Nonlinear model; Poisson regression; Proportional hazards model; Reliability study

Indexed keywords

EID: 33751020234     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (22)

1. Andersen, P. K. and Gill, R. D. (1982). Cox's regression model for counting processes: A large sample study. Ann. Statist. 10, 1100-1120.
2. Buzas, J. S. (1997). Instrumental variable estimation in nonlinear measurement error models. Comm. Statist. Ser. A 26, 2861-2877.
3. Carroll, R. J., Kuchenhoff, H., Lombard, F. and Stefanski, L. A. (1996). Asymptotics for the SIMEX estimator in nonlinear measurement error models. J. Amer. Statist. Assoc. 91, 242-250.
4. Carroll, R. J., Ruppert, D. and Stefanski, L. A. (1995). Measurement Error in Nonlinear Models. Chapman and Hall, London.
5. Carroll, R. J. and Stefanski, L. A. (1990). Approximate quasilikelihood estimation in models with surrogate predictors. J. Amer. Statist. Assoc. 85, 652-663.
6. Cook, J. and Stefanski, L. A. (1994). A simulation extrapolation method for parametric measurement error models. J. Amer. Statist. Assoc. 89, 1314-1328.
7. Cox, D. R. (1972). Regression models and life tables (with discussion). J. Roy. Statist. Soc. Ser. B 34, 187-220.
8. Gill, R. D. (1989). Non- and semi-parametric maximum likelihood estimators and the von Mises method - I. Scand. J. Statist. 16, 97-128.
9. Gleser, L. J. (1990). Improvements of the naive approach to estimation in nonlinear errors-in-variables regression models. In Statistical Analysis of Measurement Errors Models and Application (Edited by P. J. Brown and W. A. Fuller). American Mathematics Society, Providence.
10. Hammer, S. M., Katisenstein, D. A., Hughes, M. D., Gundackor, H., Schooley, R. T., Haubrich, R. H., Henry, W. K., Lederrnan, M. M., Phair, J. P., Niu, M., Hirsch, M. S. and Merigan, T. C. (1996). A trial comparing nucleoside rnonotherapy with combination therapy in HIV-infected adults with CD4 cell counts from 200 to 500 per cubic millimeter. N. Engl. J. Med. 335, 1081-1090.
11. Huang, Y. and Wang. C. Y. (1999). Nonparametric correction to errors in covariates. Technical Report, Fred Hutchinson Cancer Research Center. Seattle.
12. Huang, Y. and Wang, C. Y. (2000). Cox regression with accurate covariates unaseertainable: A nonparametrie-currection approach. J. Amur. Statist. Assoc. 95, 1209-1219.
13. Huang, Y. and Wang, C. Y. (2001). Consistent functional methods for logistic regression with errors in covariates. J. Amer. Statist. Assoc. 96, 1469-1482.
14. Huber, P. J. (1981) Robust Statistics. Wiley, New York.
15. Lin, D. Y. and Wei, L. J. (1989). The robust inference for the Cox proportional hazards model. J. Amer. Statist. Assoc. 84, 1074-1078.
16. Nakamura, T. (1990). Corrected score function for errors in variables models: Methodology and application to generalized linear models. Biomatrika 77, 127-137.
17. Nakamura, T. (1992). Proportional hazards model with covariates subject to measurement error. Biometrics 48, 829-838.
18. Prentice, R. L. ( 1982). Covariate measurement errors and parameter estimation in a failure time regression model. Biometrika 69, 331-342.
19. Stefanski, L. A. (1989). Unbiased estimation of a nonlinear function of a normal mean with application to measurement error models. Comm. Statist. Ser. A 18, 4335-4358.
20. Stefanski and Carroll (1985). Conditional scores and optimal scores for generalized linear measurement-error models. Biometrika 74, 703-716.
21. Stefanski, L. A. and Cook, J. R. (1995). Simulation-extrapolation: The measurement error jackknife. J. Amer. Statist. Assoc. 90, 1247-1256.
22. Tsiatis, A. A. (1981). A large sample study of Cox's regression model. Ann. Statist. 9, 93-108.