Jackknife Empirical Likelihood for the Accelerated Failure Time Model with Censored Data

References

• Chen, J., Mulayath,A., Bovas, A. (2008). Adjusted empirical likelihood and its properties. Journal of Computational and Graphical Statistics 17:426–443.
   Web of Science ®Google Scholar
• Chen, S.X., Van Keilegom, I. (2009). A review on empirical likelihood for regressions (with discussions). Test 3:415–447.
   Web of Science ®Google Scholar
• Cox, D.R. (1972). Regression models and life-tables (with discussion), Journal of the Royal Statistical Society: Series B 34:187–220.
   Web of Science ®Google Scholar
• Fygenson, M., Ritov, Y. (1994). Monotone estimating equations for censored data. Annals of Mathematical Statistics 22:732–746.
   Google Scholar
• Gong, Y., Peng, L., Qi, Y. (2010). Smoothed jackknife empirical likelihood method for ROC curve. Journal of Multivariate Analysis 101:1520–1531.
   Web of Science ®Google Scholar
• Heller, G. (2007). Smoothed rank regression with censored data. Journal of the American Statistical Association 102:552–559.
   Web of Science ®Google Scholar
• Jing, B.Y., Yuan, J.Q., Zhou, W. (2009). Jackknife empirical likelihood. Journal of the American Statistical Association 104:1224–1232.
   Web of Science ®Google Scholar
• Klein, J.P., Maoeschberger, M.L. (1997). Survival Analysis Techniques for Censored and Truncated Data. 2nd ed., Springer.
   Google Scholar
• Li, Y., Wang, Q.H. (2003) Empirical likelihood regression analysis for right censored data. Statistica Sinica 13:51–68.
   Web of Science ®Google Scholar
• Lin, D.Y., Geyer, C.J. (1992). Computational methods for semi-parametric linear regression with censored data. Journal of Computational and Graphical Statistics1:77–90.
   Google Scholar
• Lin, D.Y., Wei, L.J., Ying, Z. (1998). Accelerated failure time models for counting processes. Biometrika 85:605–618.
   Web of Science ®Google Scholar
• Liu, Y., Zou, C., Zhang, R. (2008). Empirical likelihood for the two-sample mean problem. Statistics and Probability Letters 78:548–556.
   Web of Science ®Google Scholar
• Lu, Y. (2009). Empirical likelihood inference for the accelerated failure time model via Kendall estimating equation. MS. Thesis, Georgia State University.
   Google Scholar
• Owen, A.B. (1988). Empirical likelihood ratio confidence intervals for a single functional. Biometrika 75:237–249.
   Web of Science ®Google Scholar
• Owen, A.B. (1990). Empirical likelihood ratio confidence regions. The Annals of Statistics 18:90–120.
   Web of Science ®Google Scholar
• Owen, A.B. (1991). Empirical likelihood for linear models. The Annals of Statistics 19:1725–1747.
   Web of Science ®Google Scholar
• Owen, A.B. (2001). Empirical Likelihood. Chapman and Hall/CRC Press, Boca Raton, FL.
   Google Scholar
• Parzen, M.I., Wei, L.J., Ying, Z. (1994). A resampling method based on pivotal estimating functions. Biometrika 81:341–350.
   Web of Science ®Google Scholar
• Qin, J., Lawless, J. (1994). Empirical likelihood and general estimating equations. The Annals of Statistics 22:300–325.
   Web of Science ®Google Scholar
• Ren, J. (2008). Weighted empirical likelihood in some two-sample semiparametric models with various types of censored data. Annals of Statistics 36:147–166.
   Web of Science ®Google Scholar
• Tsiatis, A.A. (1990). Estimating regression parameters using linear rank tests for censored data. Annals of Statistics 18:354–372.
   Web of Science ®Google Scholar
• Yang, H., Zhao, Y. (2012). New empirical likelihood inference for transformation models. Journal of Statistical Planning and Inference 142:1659–1668.
   Web of Science ®Google Scholar
• Yang, H., Zhao, Y. (2013). Jackknife empirical likelihood confidence intervals for the difference of two ROC curves. Journal of Multivariate Analysis 115:270–284.
   Web of Science ®Google Scholar
• Ying, Z. (1993). A large sample study of rank estimation for censored regression data. Annals of Statistics. 21:76–99.
   Web of Science ®Google Scholar
• Zhang, Z., Zhao, Y. (2013). Empirical likelihood for linear transformation models with interval-censored failure time data. Journal of Multivariate Analysis 116:398–409.
   Web of Science ®Google Scholar
• Zhao, Y. (2011). Empirical likelihood inference for the accelerated failure time model. Statistics and Probability Letters 81(5):603–610.
   Web of Science ®Google Scholar
• Zhao, Y., Chen, F. (2008). Empirical likelihood inference for median regression model via nonparametric kernel estimation. Journal of Multivariate Analysis. 99:215–231
   Web of Science ®Google Scholar
• Zhao, Y., Huang, Y. (2007). Test-based interval estimation under the accelerated failure time model. Communications in Statistics—Simulation and Computation 36:593–605.
   Web of Science ®Google Scholar
• Zhao, Y., Yang, S. (2008). Empirical likelihood inference for censored median regression with weighted empirical hazard functions. Annals of the Institute of Statistical Mathematics 60(2):441–457.
   Web of Science ®Google Scholar
• Zhou. M. (2005). Empirical likelihood analysis of the rank estimator for the censored accelerated failure time model. Biometrika 92:492–498.
   Web of Science ®Google Scholar
• Zhou, M., Li, G. (2008). Empirical likelihood analysis of the Buckley-James estimator. Journal of Multivariate Analysis 99:649–664.
   PubMed Web of Science ®Google Scholar