Estimation for frailty measurement error Cox models based on profile likelihood and Bayes methods

被引:0
作者
Zhang, Caiya [1 ]
Gu, Xiaolu [1 ]
Chen, Yingyu [1 ]
机构
[1] Zhejiang Univ City Coll, Dept Stat, Hangzhou, Peoples R China
关键词
Cox model; Frailty; Measurement error; Profile likelihood; COVARIATE MEASUREMENT ERROR; PROPORTIONAL HAZARDS MODEL; SURVIVAL-DATA; REGRESSION; INFERENCE;
D O I
10.1080/03610918.2019.1572763
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We study a class of frailty Cox models with measurement error in covariates for right censored clustered data. Based on the corrected profile likelihood and Bayes estimation, we construct estimators of the regression coefficients, baseline hazard and frailties in the models, which can reduce the dimension of estimated parameters and make the computation feasible. Numerical results show that frailty measurement error Cox model (FMCM) is more competitive and of good adaptivity than frailty Cox model (FCM) and measurement error Cox model (MCM) in terms of bias and mean square error.
引用
收藏
页码:1005 / 1018
页数:14
相关论文
共 25 条
  • [1] BARNDORFFNIELSEN O, 1983, BIOMETRIKA, V70, P343
  • [2] Carroll RJ., 1995, MEASUREMENT ERROR NO
  • [3] CLAYTON DG, 1978, BIOMETRIKA, V65, P141, DOI 10.1093/biomet/65.1.141
  • [4] COX DR, 1972, J R STAT SOC B, V34, P187
  • [5] Selection of Effects in Cox Frailty Models by Regularization Methods
    Groll, Andreas
    Hastie, Trevor
    Tutz, Gerhard
    [J]. BIOMETRICS, 2017, 73 (03) : 846 - 856
  • [6] A trial comparing nucleoside monotherapy with combination therapy in HIV-infected adults with CD4 cell counts from 200 to 500 per cubic millimeter
    Hammer, SM
    Katzenstein, DA
    Hughes, MD
    Gundacker, H
    Schooley, RT
    Haubrich, RH
    Henry, WK
    Lederman, MM
    Phair, JP
    Niu, M
    Hirsch, MS
    Merigan, TC
    Blaschke, TF
    Simpson, D
    McLaren, C
    Rooney, J
    Salgo, M
    [J]. NEW ENGLAND JOURNAL OF MEDICINE, 1996, 335 (15) : 1081 - 1090
  • [7] Semiparametric failure time regression with replicates of mismeasured covariates
    Hu, CC
    Lin, DY
    [J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2004, 99 (465) : 105 - 118
  • [8] Cox regression with accurate covariates unascertainable: A nonparametric-correction approach
    Huang, YJ
    Wang, CY
    [J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2000, 95 (452) : 1209 - 1219
  • [9] KALBFLEI.JD, 1970, J ROY STAT SOC B, V32, P175
  • [10] Inference on survival data with covariate measurement error - An imputation-based approach
    Li, Y
    Ryan, L
    [J]. SCANDINAVIAN JOURNAL OF STATISTICS, 2006, 33 (02) : 169 - 190