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Statistical Diagnosis for General Transformation Model with Right Censored Data Based on Empirical Likelihood
Department of Fundamental Course, Air Force Logistics College, Xuzhou, China
Department of Fundamental Course, Air Force Logistics College, Xuzhou, China
School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu, China
- 1 Department of Fundamental Course, Air Force Logistics College, Xuzhou, China
- 2 Department of Fundamental Course, Air Force Logistics College, Xuzhou, China
- 3 School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu, China
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Abstract
In this work, we consider statistical diagnostic for general transformation models with right censored data based on empirical likelihood. The models are a class of flexible semiparametric survival models and include many popular survival models as their special cases. Based on empirical likelihood methodologe, we define some diagnostic statistics. Through some simulation studies, we show that out proposed procedure can work fairly well.
KeywordsRandom Right CensorshipEmpirical LikelihoodOutliersInfluence Analysis
- Cook, R.D. and Weisberg, S. (1982) Residuals and Influence in Regression. Chapman and Hall, New York.
- Wei, B.C., Lu, G.B. and Shi, J.Q. (1990) Statistical Diagnostics. Publishing House of Southeast University, Nanjing.
- Weissfeld, L.A. (1990) Influence Diagnostics for the Proportional Hazards Model. Statistics & Probability Letters, 10, 411-417. http://dx.doi.org/10.1016/0167-7152(90)90022-Y
- Thomas, D.R. and Grunkemeier, G.L. (1975) Confidence Interval Estimation of Survival Interval Estimation of Survival Probabilities for Censored Data. Journal of the American Statistical Association, 70, 865-871. http://dx.doi.org/10.1080/01621459.1975.10480315
- Owen, A. (2001) Empirical Likelihood. Chapman and Hall, New York. http://dx.doi.org/10.1201/9781420036152
- Zhu, H.T., Ibrahim, J.G. and Tang, N.S., et al. (2008) Diagnostic Measures for Empirical Likelihood of Generalized Estimating Equations. Biometrika, 99, 489-507. http://dx.doi.org/10.1093/biomet/asm094
- Xue, L.G. and Zhu, L.X. (2010) Empirical Likelihood in Nonparametric and Semiparametric Models. Science Press, Beijing.
- Qin, G. and Jing, B. (2001) Empirical Likelihood for Cox Regression Model under Random Censorship. Communication in Statistics—Simulation and Computation, 30, 79-90.
- He, B. (2006) Application of the Empirical Likelihood Method in Propotional Hazards Model. Ph.D. Thesis, University of Central Florida, Orlando.
- Gu, M., Sun, L. and Zuo, G. (2005) A Baseline-Free Procedure for Tansformation Models under Interval Censorship. Lifetime Data Analysis, 11, 437-488. http://dx.doi.org/10.1007/s10985-005-5235-x
- Zhou, M. (2005) Empirical Likelihood Analysis of the Rank Estimator for the Censored Accelerated Failure Time Model. Biometrika, 92, 492-498. http://dx.doi.org/10.1093/biomet/92.2.492
- Zheng, M. and Yu, W. (2011) Empirical Likelihood Method for the Multivariate Accelerated Filure Time Models. Journal of Statistical Planning and Inference, 141, 972-983. http://dx.doi.org/10.1016/j.jspi.2010.09.001
- Zhou, M., Kim, M. and Bathke, A. (2012) Empirical Likelihood Analysis for the Heteroscedastic Accelerated Failure Time Model. Statistica Sinica, 22, 295-316.
- Li, G., Li, R. and Zhou, M. (2005) Empirical Likelihood in Survival Analysis. In: Fan, J. and Li, G., Eds., Contemporary Multivariate Analysis and Design of Experiments, World Scientific, Singapore City, 337-350. http://dx.doi.org/10.1142/9789812567765_0020