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纵向数据与生存数据联合模型中多变点识别问题

沈佳坤 宋立新 孙秀峰 冯宝军

大连理工大学学报2016,Vol.56Issue(5):539-545,7.
大连理工大学学报2016,Vol.56Issue(5):539-545,7.DOI:10.7511/dllgxb201605015

纵向数据与生存数据联合模型中多变点识别问题

Multiple change points identification in j oint modeling of longitudinal and survival data

沈佳坤 1宋立新 2孙秀峰 3冯宝军1

作者信息

  • 1. 大连理工大学 管理与经济学部,辽宁 大连 116024
  • 2. 大连理工大学 数学科学学院,辽宁 大连 116024
  • 3. 大连理工大学 数学科学学院,辽宁 大连 116024
  • 折叠

摘要

Abstract

A joint model with multiple change points identifying in longitudinal response process is proposed,which combines a linear mixed-effect (LME)model and an accelerated failure time (AFT) model with respect to shared covariates and random effects.All the parameters are estimated by the maximum likelihood function through the Gauss-Hermite approximation to deal with the intractable integrals in it.The effect of the method is elucidated through simulation studies and a real data application about primary biliary cirrhosis (PBC).It is shown that serum bilirubin level declines only at the beginning of treatment and lasts two months,then quickly rebounds and doesn't slow down until 3.5 years later,which indicates that the treatment methods still need to be improved.

关键词

多变点/线性混合效应模型/加速失效时间模型/联合推断/极大似然

Key words

multiple change points/linear mixed-effect (LME)model/accelerated failure time (AFT) model/j oint inference/maximum likelihood

分类

数理科学

引用本文复制引用

沈佳坤,宋立新,孙秀峰,冯宝军..纵向数据与生存数据联合模型中多变点识别问题[J].大连理工大学学报,2016,56(5):539-545,7.

基金项目

国家社会科学基金资助项目(16BGL060) (16BGL060)

国家自然科学基金资助项目(11371077) (11371077)

大连理工大学学报

OA北大核心CSCDCSTPCD

1000-8608

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