References
- Buzas, J. S. (1998), “Unbiased Scores in Proportional Hazards Regression With Covariate Measurement Error,” Journal of Statistical Planning and Inference, 67, 247–257.
- Carroll, R. J., Ruppert, A., Stefanski, L. A., and Crainiceanu, C. (2006), Measurement Error in Nonlinear Models: A Modern Perspective ( 2nd ed.), London: CRC Press.
- Cheng, S.-C., and Wang, N. (2001), “Linear Transformation Models for Failure Time Data With Covariate Measurement Error,” Journal of the American Statistical Association, 96, 706–716.
- Cheng, S. C., Wei, L. J., and Ying, Z. (1995), “Analysis of Transformation Models With Censored Data,” Biometrika, 82, 835–845.
- Fine, J., Ying, Z., and Wei, L. J. (1998), “On the Linear Transformation Model for Censored Data,” Biometrika, 85, 980–986.
- Greene, W. F., and Cai, J. (2004), “Measurement Error in Covariates in the Marginal Hazards Model for Multivariate Failure Time Data,” Biometrics, 60, 987–996.
- Hall, P., and Ma, Y. (2007), “Measurement Error Models With Unknown Error Structure,” Journal of Royal Statistical Society, Series B, 69, 429–446.
- Hammer, S. M., Katzenstein, D. A., Hughes, M. D., Gundacker, H., Schooley, R. T., Haubrich, R. H., Henry, W., Lederman, M. M., Phair, J. P., Niu, M., Hirsch, M. S., and Merigan, T. C. (1996), “A Trial Comparing Nucleoside Monotherapy With Combination Therapy in HIV-infected Adults With cd4 Cell Counts From 200 to 500 Per Cubic Millimeter,” The New England Journal of Medicine, 335, 1081–1090.
- Hu, C., and Lin, D. Y. (2002), “Cox Regression With Covariate Measurement Error,” The Scandinavian Journal of Statistics, 29, 637–655.
- Huang, J. (1995), “Maximum Likelihood Estimation for Proportional odds Regression Model With Current Status Data,” Analysis of Censored Data (IMS Lecture Notes Monograph Series), 27, 129–145.
- Huang, Y., and Wang, C. Y. (2000), “Cox Regression With Accurate Covariates Unascertainable: A Nonparametric-Correction Approach,” Journal of the American Statistical Association, 95, 1209–1219.
- ——— (2001), “Consistent Functional Methods for Logistic Regression With Errors in Covariates,” Journal of the American Statistical Association, 96, 1469–1482.
- Klein, J. P., and Moeschberger, M. L. (2003), Survival Analysis, Techniques for Censored and Truncated Data, New York: Springer.
- Li, T., and Vuong, Q. (1998), “Nonparametric Estimation of the Measurement Error Model Using Multiple Indicators, Journal of Multivariate Analysis, 65, 139–165.
- Ma, Y., Hart, J. D., and Carroll, R. J. (2011), “Density Estimation in Several Populations With Uncertain Population Membership,” Journal of the American Statistical Association, 106, 1180–1192.
- Ma, Y., and Li, R. (2010), “Variable Selection in Measurement Error Models,” Bernoulli, 16, 274–300.
- Murphy, S. A., Rossini, A. J., and van der Vaart, A. W. (1997), “MLE in the Proportional Odds Model,” Journal of the American Statistical Association, 92, 968–976.
- Nakamura, T. (1990), “Corrected Score Function for Errors-in-variables Models: Methodology and Application to Generalized Linear Models,” Biometrika, 77, 127–137.
- ——— (1992), “Proportional Hazards Model With Covariates Subject to Measurement Error,” Biometrics, 48, 829–838.
- Prentice, R. L. (1982), “Covariate Measurement Errors and Parameter Estimation in a Failure Time Regression Model,” Biometrika, 69, 331–342.
- Rossini, A. J., and Tsiatis, A. A. (1996), “A Semiparametric Proportional Odds Regression Model for the Analysis of Current Status Data,” Journal of the American Statistical Association, 91, 713–721.
- Sheather, S. J., and Jones, M. C. (1991), “A Reliable Data-based Bandwidth Selection Method for Kernel Density Estimation,” Journal of the Royal Statistical Society, Series B, 53, 683–690.
- Small, C. G., and Wang, J. (2003), Numerical Methods for Nonlinear Estimating Equations, Oxford, UK: Oxford University Press.
- Song, X., Davidian, M., and Tsiatis, A. A. (2002), “An Estimator for the Proportional Hazards Model With Multiple Longitudinal Covariates Measured With Error,” Biostatistics, 3, 511–528.
- Song, X., and Huang, Y. (2005), “On Corrected Score Approach for Proportional Hazards Model With Covariate Measurement Error,” Biometrics, 61, 702–714.
- Wen, C. C., and Chen, Y.-H. (2012), “Conditional Score Approach to Errors-in-variable Current Status Data Under the Proportional Odds Model,” Scandinavian Journal of Statistics, 39, 635–644.
- Zhou, H., and Wang, C. Y. (2000), “Failure Time Regression With Continuous Covariates Measured With Error,” Journal of the Royal Statistical Society, Series B, 62, 657–665.
- Zucker, D. (2005), “A Pseudo Partial Likelihood Method for Semi-parametric Survival Regression With Covariate Errors,” Journal of the American Statistical Association, 100, 1264–1277.