吉林大学学报(理学版) ›› 2025, Vol. 63 ›› Issue (5): 1302-1312.

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右删失数据下部分时间相依协变量的加性Interquantile回归

刘沛, 徐萍, 肖男男, 王纯杰   

  1. 长春工业大学 数学与统计学院, 长春 130012
  • 收稿日期:2025-02-14 出版日期:2025-09-26 发布日期:2025-09-26
  • 通讯作者: 王纯杰 E-mail:wangchunjie@ccut.edu.cn

Additive Interquantile Regression with Partially Time-Dependent Covariates under Right Censored Data

LIU Pei, XU Ping, XIAO Nannan, WANG Chunjie   

  1. College of Mathematics and Statistics, Changchun University of Technology, Changchun 130012, China
  • Received:2025-02-14 Online:2025-09-26 Published:2025-09-26

摘要: 利用Interquantile回归模型具有灵活、 稳健、 适用范围广的特征, 对响应变量存在右删失、 协变量存在时间相依关系以及部分非线性结构的数据, 建立加性Interquantile回归模型, 以避免传统分位数回归模型单独对相邻分位数估计时出现的不稳定问题, 并通过加权秩估计过程结合差分进化算法估计相邻分位数区间的未知参数. 模拟研究结果表明了该方法在有限样本下的优良性能, 并将其应用到美国斯坦福心脏移植数据中.

关键词: Interquantile回归, 右删失响应, 时间相依协变量, 部分非线性结构

Abstract: By using the  flexible, robust, and  widely  applicable characteristics of the Interquantile regression model, we established an additive Interquantile regression model for data with right-censored response variables, time-dependent covariates, and partially nonlinear structures to  avoid the instability issues that traditional quantile regression models might encounter when estimating adjacent quantiles separately, we also estimated the unknown parameters of adjacent quantile intervals through a weighted rank estimation process combined with differential evolution algorithm. The simulation research results show the excellent performance of the proposed method under finite samples, and it is applied  to the Stanford heart transplant data in the United States.

Key words:  , Interquantile regression, right-censored response, time-dependent covariate, partially nonlinear structure

中图分类号: 

  • O212