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Theory and Methods

Efficient Estimation of Semiparametric Transformation Models for Two-Phase Cohort Studies

Pages 371-383 | Received 01 Oct 2012, Published online: 10 Oct 2013

REFERENCES

  • Barlow, W.E. (1994), Robust Variance Estimation for the Case-Cohort Design, Biometrics, 50, 1064–1072.
  • Borgan, Ø., Langholz, B., Samuelsen, S.O., Goldstein, L., Pagoda, J. (2000), Exposure Stratified Case-Cohort Designs, Lifetime Data Analysis, 6, 39–58.
  • Breslow, N.E., Lumbley, T., Ballantyne, C.M., Chambless, L.E., Kulich, M. (2009), Using the Whole Cohort in the Analysis of Case-Cohort Data, American Journal of Epidemiology, 169, 1398–1405.
  • Cai, T., Zheng, Y. (2011), Non-Parametric Evaluation of Biomarker Accuracy Under Nested Case-Control Studies, Journal of the American Statistical Association, 106, 569–580.
  • Cai, T., Zheng, Y. (2012), Evaluating Prognostic Accuracy of Biomarkers Under Nested Case-Control Studies, Biostatistics, 13, 89–100.
  • Chen, H.Y., Little, R. J.A. (1999), Proportional Hazards Regression With Missing Covariates, Journal of the American Statistical Association, 94, 896–908.
  • Chen, K. (2001), Generalized Case-Cohort Sampling, Journal of the Royal Statistical Society, Series B, 63, 791–809.
  • Chen, K., Jin, Z., Ying, Z. (2002), Semiparametric Analysis of Transformation Models With Censored Data, Biometrika, 89, 659–668.
  • Chen, K., Lo, S.-H. (1999), Case-Cohort and Case-Control Analysis With Cox’s Model, Biometrika, 86, 755–764.
  • Cox, D.R. (1972), “Regression Models and Life-Tables” (with discussion), Journal of the Royal Statistical Society, Series B, 34, 187–220.
  • Cox, D.R. (1975), Partial Likelihood, Biometrika, 62, 269–276.
  • D’Angio, G.J., Breslow, N., Bechwith, J.B., Evans, A., Baum, E., deLorimier, A., Fernbach, D., Hrabovsky, E., Jones, B., Kelalis, P., Otherson, H.B., Tefft, M. (1989), Treatment of Wilms’ Tumor. Results of the Third National Wilms’ Tumor Study, Cancer, 64, 349–360.
  • Goldstein, L., Langholz, B. (1992), Asymptotic Theory for Nested Case-Control Sampling in the Cox Regression Model, The Annals of Statistics, 20, 69–79.
  • Green, D.M., Breslow, N.E., Bechwith, J.B., Finklestein, J.Z., Grundy, P.E., Thomas, P.R., Kim, T., Shochat, S.J., Haase, G.M., Ritchey, M.L., Kelalis, P.P., D’Angio, G.J. (1998), Comparison Between Single-Dose and Divided-Dose Administration of Dactinomycin and Doxorubicin for Patients With Wilms’ Tumor: A Report From the National Wilms’ Tumor Study Group, Journal of Clinical Oncology, 16, 237–245.
  • Johansen, S. (1983), An Extension of Cox’s Regression Model, International Statistical Review, 51, 258262.
  • Kalbfleisch, J.D., Lawless, J.F. (1988), Likelihood Analysis of Multi-State Models for Disease Incidence and Mortality, Statistics in Medicine, 7, 149–160.
  • Kang, S., Cai, J. (2009), Marginal Hazards Model for Case-Cohort Studies With Multiple Disease Outcomes, Biometrika, 96, 887–901.
  • Kong, L., Cai, J. (2009), Case-Cohort Analysis With Accelerated Failure Time Model, Biometrics, 65, 135–142.
  • Kong, L., Cai, J., Sen, P.K. (2004), Weighted Estimating Equations for Semiparametric Transformation Models With Censored Data From a Case-Cohort Design, Biometrika, 91, 305–319.
  • Kulich, M., Lin, D.Y. (2000), Additive Hazards Regression for Case-Cohort Studies, Biometrika, 87, 73–87.
  • Kulich, M., Lin, D.Y. (2004), Improving the Efficiency of Relative-Risk Estimation in Case-Cohort Studies, Journal of the American Statistical Association, 99, 832–844.
  • Langholz, B., Borgan, Ø. (1995), Counter-Matching: A Stratified Nested Case-Control Sampling Method, Biometrika, 82, 69–79.
  • Lu, S.E., Shih, J.H. (2006), Case-Cohort Designs and Analysis for Clustered Failure Time Data, Biometrics, 62, 1138–1148.
  • Lu, W., Tsiatis, A.A. (2006), Semiparametric Transformation Models for the Case-Cohort Study, Biometrika, 93, 207–214.
  • Luo, X., Tsai, W.Y., Xu, Q. (2009), Pseudo-Partial Likelihood Estimators for the Cox Regression Model With Missing Covariates, Biometrika, 96, 617–633.
  • Martinussen, T. (1999), Cox Regression With Incomplete Covariate Measurements Using the EM-Algorithm, Scandinavian Journal of Statistics, 26, 479–491.
  • Murphy, S.A. (1994), Consistency in a Proportional Hazards Model Incorporating a Random Effect, The Annals of Statistics, 22, 712–731.
  • Murphy, S.A., van der Vaart, A.W. (2000), On the Profile Likelihood, Journal of the American Statistical Association, 95, 449–465.
  • Nan, B. (2004), Efficient Estimation for Case-Cohort Studies, Canadian Journal of Statistics, 32, 403–419.
  • Nan, B., Yu, M., Kalbfleisch, J.D. (2006), Censored Linear Regression for Case-Cohort Studies, Biometrika, 93, 747–762.
  • Prentice, R.L. (1986), A Case-Cohort Design for Epidemiologic Cohort Studies and Disease Prevention Trials, Biometrika, 73, 1–11.
  • Qi, L., Wang, C.Y., Prentice, R.L. (2005), Weighted Estimators for Proportional Hazards Regression With Missing Covariates, Journal of the American Statistical Association, 100, 1250–1263.
  • Robins, J.M., Rotnitzky, A., Zhao, L.P. (1994), Estimation of Regression Coefficients When Some Regressors are not Always Observed, Journal of the American Statistical Association, 89, 846–866.
  • Rudin, W. (1973), Functional Analysis, New York: McGraw-Hill.
  • Scheike, T.H., Juul, A. (2004), Maximum Likelihood Estimation for Cox’s Regression Model Under Nested Case-Control Sampling, Biostatistics, 5, 193–206.
  • Scheike, T.H., Martinussen, T. (2004), Maximum Likelihood Estimation for Cox’s Regression Model Under Case-Cohort Sampling, Scandinavian Journal of Statistics, 31, 283–293.
  • Self, S.G., Prentice, R.L. (1988), Asymptotic Distribution Theory and Efficiency Results for Case-Cohort Studies, The Annals of Statistics, 16, 64–81.
  • The ARIC Investigators (1989), The Atherosclerosis Risk in Communities (ARIC) Study: Design and Objectives, American Journal of Epidemiology, 129, 687–702.
  • Thomas, D. (1977), Addendum to: Methods of Cohort Analysis: Appraisal by Application to Asbestos Mining, by F. D. K. Liddell, J. C. McDonald, and D. C. Thomas, Journal of the Royal Statistical Society, Series A, 140, 469–491.
  • van der Vaart, A.W., and Wellner, J.A. (1996), Weak Convergence and Empirical Processes, New York: Springer-Verlag.
  • Zeng, D., Lin, D.Y. (2007), “Maximum Likelihood Estimation in Semiparametric Regression Models With Censored Data” (with discussion), Journal of the Royal Statistical Society, Series B, 69, 507–564.
  • Zeng, D., Lin, D.Y. (2010), A General Asymptotic Theory for Maximum Likelihood Estimation in Semiparametric Regression Models With Censored Data, Statistica Sinica, 20, 871–910.
  • Zeng, D., Lin, D.Y., Avery, C.L., North, K.E., Bray, M.S. (2006), Efficient Semiparametric Estimation of Haplotype-Disease Associations in Case-Cohort and Nested Case-Control Studies, Biostatistics, 7, 486–502.
  • Zhang, H., Schaubel, D.E., Kalbfleisch, J.D. (2011), Proportional Hazards Regression for the Analysis of Clustered Survival Data From Case-Cohort Studies, Biometrics, 67, 18–29.

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