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Quantile Regression for Right-Censored and Length-Biased Data

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文摘 Length-biased data arise in many important fields, including epidemiological cohort studies, cancer screening trials and labor economics. Analysis of such data has attracted much attention in the literature. In this paper we propose a quantile regression approach for analyzing right-censored and length-biased data. We derive an inverse probability weighted estimating equation corresponding to the quantile regression to correct the bias due to length-bias sampling and informative censoring. This method can easily handle informative censoring induced by length-biased sampling. This is an appealing feature of our proposed method since it is generally difficult to obtain unbiased estimates of risk factors in the presence of length-bias and informative censoring. We establish the consistency and asymptotic distribution of the proposed estimator using empirical process techniques. A resampling method is adopted to estimate the variance of the estimator. We conduct simulation studies to evaluate its finite sample performance and use a real data set to illustrate the application of the proposed method.
来源 Acta Mathematicae Applicatae Sinica-English Series ,2012,28(3):443-462 【核心库】
DOI 10.1007/s10255-012-0157-3
关键词 length-biased sampling ; right-censored ; information censoring ; quantile regression ; estimating equations ; resampling method
地址

1. Department of Statistics, Yunnan University, Kunming, 650091  

2. Academy of Mathematics and System Sciences, Chinese Academy of Science, Beijing, 100190

语种 英文
ISSN 0168-9673
学科 数学;预防医学、卫生学
基金 国家自然科学基金国家杰出青年科学基金 ;  Creative Research Groups of China ;  Shanghai University of Finance and Economics Project 211 Phase Ⅲ ;  上海市重点学科建设项目
文献收藏号 CSCD:4622824

参考文献 共 65 共4页

1.  Addona V. A Formal Test for the Stationarity of the Incidence Rate Using Data from a Prevalent Cohort Study with Follow-up. Lifetime Data Anal,2006,12:267-284 CSCD被引 9 次    
2.  Andersen P K. Cox’s Regression Model for Counting Processes: A Large Sample Study. The Annals of Statistics,1982,10:1100-1120 CSCD被引 66 次    
3.  Asgharian M. Length-Biased Sampling with Right Censoring: An Unconditional Approach. Journal of the American Statistical Association,2002,97:201-209 CSCD被引 9 次    
4.  Asgharian M. Asymptotic Behavior of the Unconditional NPMLE of the Length-Biased Survivor Function From Right Censored Prevalent Cohort Data. The Annals of Statistics,2005,33:2109-2131 CSCD被引 7 次    
5.  Asgharian M. Checking stationarity of the incidence rate using prevalent cohort survial data. Statistics in Medicine,2006,25:1751-1767 CSCD被引 4 次    
6.  Bang H. Median Regression with Censored Cost Data. Biometrics,2002,58:643-649 CSCD被引 9 次    
7.  Buckley J. Linear Regression with Censored Data. Biometrika,1979,66:429-436 CSCD被引 38 次    
8.  Cai Z. Nonparametric Quantile Estimations for Dynamic Smooth Coefficient Models. Journal of the American Statistical Association,2009,103:1595-1608 CSCD被引 15 次    
9.  Chen S X. Smoothed Empirical Likelihood Confidence Intervals for Quantiles. The Annals of Statistics,1993,21:1166-1181 CSCD被引 25 次    
10.  Chen X. Estimation of Semiparametric Models when Criterion Function is Not Smooth. Econometrica,2003,71:1591-1608 CSCD被引 6 次    
11.  Cox D R. Regression Models and Life-Tables. Journal of the Royal Statistical Society (Series B),1972,34:187-220 CSCD被引 238 次    
12.  Dabrowska D M. Quantile Regression in Tranformation Models. Indian Statistical Institute,2005,67:153-186 CSCD被引 1 次    
13.  Fleming T R. Counting Processes and Survival Analysis,1991 CSCD被引 28 次    
14.  Foldes A. Strong Uniform Consistency for Nonparametric Survival Curve Estimators from Randomly Censored Data. The Annals of Statistics,1981,9:122-129 CSCD被引 2 次    
15.  Gill R D. Large Sample Theory of Empirical Distribution in Biased Sampling Models. The Annals of Statistics,1988,12:1069-1112 CSCD被引 3 次    
16.  He X. Quantile Regression Estimates for a Class of Linear and Partially Linear Errors-In- Variables Models. Statistica Sinica,2000,10:129-140 CSCD被引 6 次    
17.  He X. Bivariate Quantile Smoothing Splines. Journal of the Royal Statistical Society (Series B),1998,60:537-550 CSCD被引 1 次    
18.  He X. Convergence Rate of B-Spline Estimator of Nonparametric Conditional Quantile Functions. Nonparametric Statistics,1994,3:299-308 CSCD被引 13 次    
19.  Honore B. Quantile Regression under Random Censoring. Journal of Econometrics,2002,109:67-105 CSCD被引 1 次    
20.  Hunter D R. Quantile Regression via an MM Algorithm. Journal of Computational and Graphical Statistics,2000,9:60-77 CSCD被引 18 次    
引证文献 5 篇

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2 Li Yanfeng Analyzing the general biased data by additive risk model Science China. Mathematics,2017,60(4):685-700
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