ADDITIVE HAZARDS MODEL WITH TIME-VARYING REGRESSION COEFFICIENTS

被引:6
作者
Bin, Huang [1 ,2 ]
机构
[1] Beijing Univ Chem Technol, Sch Sci, Beijing 100029, Peoples R China
[2] Cent Univ Finance & Econ, China Econ & Mangement, Beijing 100081, Peoples R China
关键词
Additive hazards model; time-varying coefficients; weighted local pseudo-score function; asymptotic property; RISK MODEL; ERROR;
D O I
10.1016/S0252-9602(10)60127-0
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This article discusses regression analysis of failure time under the additive hazards model, when the regression coefficients are time-varying. The regression coefficients are estimated locally based on the pseudo-score function [12] in a window around each time point. The proposed method can be easily implemented, and the resulting estimators are shown to be consistent and asymptotically normal with easily estimated variances. The simulation studies show that our estimation procedure is reliable and useful.
引用
收藏
页码:1318 / 1326
页数:9
相关论文
共 20 条
[1]   COX REGRESSION-MODEL FOR COUNTING-PROCESSES - A LARGE SAMPLE STUDY [J].
ANDERSEN, PK ;
GILL, RD .
ANNALS OF STATISTICS, 1982, 10 (04) :1100-1120
[2]  
[Anonymous], 1996, Local polynomial modelling and its applications
[3]  
[Anonymous], 1984, Analysis of survival data
[4]  
BRESLOW NE, 1987, STAT MODELS CANC RES, V2
[5]   Local linear estimation for time-dependent coefficients in Cox's regression models [J].
Cai, ZW ;
Sun, YQ .
SCANDINAVIAN JOURNAL OF STATISTICS, 2003, 30 (01) :93-111
[6]   Kernel estimation of higher derivatives of density and hazard rate function for truncated and censored dependent data [J].
Chen, QP ;
Dai, YL .
ACTA MATHEMATICA SCIENTIA, 2003, 23 (04) :477-486
[7]  
COX DR, 1972, J R STAT SOC B, V34, P187
[8]   WEIGHTED LEAST-SQUARES ESTIMATION FOR AALEN ADDITIVE RISK MODEL [J].
HUFFER, FW ;
MCKEAGUE, IW .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1991, 86 (413) :114-129
[9]   Additive hazard regression with auxiliary covariates [J].
Jiang, Jiancheng ;
Zhou, Haibo .
BIOMETRIKA, 2007, 94 (02) :359-369
[10]   Additive hazards regression with covariate measurement error [J].
Kulich, M ;
Lin, DY .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2000, 95 (449) :238-248