Analyzing the general biased data by additive risk model

被引:0
作者
LI YanFeng [1 ]
MA HuiJuan [2 ]
WANG DeHui [1 ]
ZHOU Yong [3 ,4 ]
机构
[1] College of Mathematics, Jilin University
[2] Department of Biostatistics and Bioinformatics, Emory University
[3] School of Statistics and Management, Shanghai University of Finance and Economics
[4] Academy of Mathematics and Systems Science, Chinese Academy of Sciences
关键词
additive risk model; unified method; length-biased data; case-cohort design;
D O I
暂无
中图分类号
O212 [数理统计];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
This paper proposes a unified semiparametric method for the additive risk model under general biased sampling. By using the estimating equation approach, we propose both estimators of the regression parameters and nonparametric function. An advantage is that our approach is still suitable for the lengthbiased data even without the information of the truncation variable. Meanwhile, large sample properties of the proposed estimators are established, including consistency and asymptotic normality. In addition, the finite sample behavior of the proposed methods and the analysis of three groups of real data are given.
引用
收藏
页码:685 / 700
页数:16
相关论文
共 24 条
[1]  
Additive Hazards Regression under Generalized Case-Cohort Sampling[J]. Ji Chang YU,Yue Yong SHI,Qing Long YANG,Yan Yan LIU.Acta Mathematica Sinica(English Series). 2014(02)
[2]  
Quantile Regression for Right-Censored and Length-Biased Data[J]. Xue-rong CHEN 1 , Yong ZHOU 2 , 3 1 Department of Statistics, Yunnan University, Kunming 650091, China 2 Academy of Mathematics and System Sciences, Chinese Academy of Science, Beijing 100190, China 3 School of Statistics and management, Shanghai University of Finance and Economics, Shanghai 200433.Acta Mathematicae Applicatae Sinica(English Series). 2012(03)
[3]   SEMIPARAMETRIC INFERENCE FOR THE PROPORTIONAL MEAN RESIDUAL LIFE MODEL WITH RIGHT-CENSORED LENGTH-BIASED DATA [J].
Bai, Fangfang ;
Huang, Jian ;
Zhou, Yong .
STATISTICA SINICA, 2016, 26 (03) :1129-1158
[4]   On the Nonparametric Mean Residual Life Estimator in Length-biased Sampling [J].
Fakoor, V. .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2015, 44 (03) :512-519
[5]  
Composite estimating equation approach for additive risk model with length-biased and right-censored data[J] . Huijuan Ma,Feipeng Zhang,Yong Zhou.Statistics and Probability Letters . 2015
[6]   Semiparametric estimation for the additive hazards model with left-truncated and right-censored data [J].
Huang, Chiung-Yu ;
Qin, Jing .
BIOMETRIKA, 2013, 100 (04) :877-888
[7]   A Unified Approach to Semiparametric Transformation Models Under General Biased Sampling Schemes [J].
Kim, Jane Paik ;
Lu, Wenbin ;
Sit, Tony ;
Ying, Zhiliang .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2013, 108 (501) :217-227
[8]  
Composite Partial Likelihood Estimation Under Length-Biased Sampling, With Application to a Prevalent Cohort Study of Dementia[J] . Chiung-yu Huang,Jing Qin.Journal of the American Statistical Association . 2012 (499)
[9]   Imputation for semiparametric transformation models with biased-sampling data [J].
Liu, Hao ;
Qin, Jing ;
Shen, Yu .
LIFETIME DATA ANALYSIS, 2012, 18 (04) :470-503
[10]   Proportional mean residual life model for right-censored length-biased data [J].
Chan, Kwun Chuen Gary ;
Chen, Ying Qing ;
Di, Chong-Zhi .
BIOMETRIKA, 2012, 99 (04) :995-1000