Inference for probability of selection with dependently truncated data using a Cox model

References

• Aalen, O. O. (1989). A linear regression model for the analysis of life times. Statistics in Medicine 8:907–925.
   PubMed Web of Science ®Google Scholar
• Andersen, P. K., Borgan, Ø., Gill, R. D., Keiding, N. (1993). Statistical Models Based on Counting Processes. New York: Springer.
   Google Scholar
• Andersen, P. K., Gill, R. D. (1982). Cox’s regression model for counting processes: A large sample study. The Annals of Statistics 10:1100–1120.
   Web of Science ®Google Scholar
• Balduzzi, A., De Lorenzo, P., Schrauder, A., Conter, V., Uderzo, C., Peters, C., Klingebiel, T., Stary, J., Felice, M. S., Magyarosy, E., Schrappe, M., Dini, G., Gadner, H., Valsecchi, M. G. (2008). Eligibility for allogeneic transplantation in very high risk childhood acute lymphoblastic leukemia: The impact of the waiting time. Haematologica 93:925–929.
   PubMed Web of Science ®Google Scholar
• Barrett, A. J., Horowitz, M. M., Pollock, B. H., Zhang, M. J., Bortin, M. M., Buchanan, G. R., Camitta, B. M., Ochs, J., Graham-Pole, J., Rowling, P. A., Rimm, A. A., Klein, J. P., Shuster, J. J., Sobocinski, K. A., Gale, R. P. (1994). HLA-identical sibling bone marrow transplants versus chemotherapy for children with acute lymphoblastic leukemia in second re-mission. The New England Journal of Medicine 331:1253–1258.
   PubMed Web of Science ®Google Scholar
• Efron, B., Petrosian, V. (1992). A simple test of independence for truncated data with applications to redshift surveys. The Astrophysical Journal 399:345–352.
   Web of Science ®Google Scholar
• Finkelstein, D. M., Moore, D. F., Schoenfeld, D. A. (1993). A proportional hazards model for truncated AIDS data. Biometrics 49:731–740.
   PubMed Web of Science ®Google Scholar
• Gross, S. T., Huber-Carol, C. (1992). Regression models for truncated survival data. Scandinavian Journal of Statistics 19:192–213.
   Web of Science ®Google Scholar
• Jones, M. P., Crowley, J. (1992). Nonparametric tests of the Markov model for survival data. Biometrika 79:513–522.
   Web of Science ®Google Scholar
• Kalbfleisch, J. D., Lawless, J. F. (1991). Regression models for right truncated data with applications to AIDS incubation times and reporting lags. Statistica Sinica 1:19–32.
   Web of Science ®Google Scholar
• Kaplan, E. L., Meier, P. (1958). Nonparametric estimation from incomplete observations. Journal of the American Statistical Association 84:360–372.
   Google Scholar
• Keiding, N., Gill, R. D. (1990). Random truncation models and Markov process. The Annals of Statistics 18:582–602.
   Web of Science ®Google Scholar
• Klein, J. P., Moeschberger, M. L. (2003). Survival Analysis Techniques for Censored and Truncated Data. New York: Springer-Verlag.
   Google Scholar
• Klein, J. P., Zhang, M. J. (1996). Statistical challenges in comparing chemotherapy and bone marrow transplantation as a treatment for leukemia. In: Jewell, N. P., Kimber, A. C., Ting Lee, M.-L., Whitmore, G. A., eds. Lifetime Data: Models in Reliability and Survival Analysis. New York: Springer, pp. 175–185.
   Google Scholar
• Lin, D. Y., Ying, Z. (1994). Semiparametric analysis of the additive risk model. Biometrika 81:61–71.
   Web of Science ®Google Scholar
• Lynden-Bell, D. (1971). A method of allowing for known observational selection in small samples applied to 3CR quasars. Monthly Notices of the Royal Astronomical Society 155:95–118.
   Web of Science ®Google Scholar
• Mackenzie, T. (2012). Survival curve estimation with dependent left truncated data using Cox’s model. The International Journal of Biostatistics 8 doi:10.1515/1557-4679.1312.
   PubMedGoogle Scholar
• Shen, P. S. (2003). The product-limit estimate as an inverse-probability-weighted average. Communications in Statistics - Theory and Methods 32:1119–1133.
   Web of Science ®Google Scholar
• Tsai, W. Y. (1990). Testing the assumption of the independence of truncation time and failure time. Biometrika 77:169–177.
   Web of Science ®Google Scholar
• Vardi, Y. (1985). Empirical distributions in selection bias models. The Annals of Statistics 13:178–203.
   Web of Science ®Google Scholar
• Wang, M. C. (1989). A semiparametric model for randomly truncated data. Journal of the American Statistical Association 84:742–748.
   Web of Science ®Google Scholar
• Wang, M. C., Jewell, N. P., Tsai, W. Y. (1986). Asymptotic properties of the product limit estimate under random truncation. The Annals of Statistics 14:1597–1605.
   Web of Science ®Google Scholar
• Woodroofe, M. (1985). Estimating a distribution function with truncated data. The Annals of Statistics 13:163–177.
   Web of Science ®Google Scholar
• Zhang, X. (2012). Nonparametric inference for inverse probability weighted estimators with a randomly truncated sample. Journal of Data Science 10:673–691.
   Google Scholar
• Zhang, X. (2015). Nonparametric inference for an inverse-probability-weighted estimator with doubly truncated data. Communications in Statistics - Simulation and Computation 44:489–504.
   Web of Science ®Google Scholar