吉林大学学报(理学版)

• 数学 • 上一篇    下一篇

缺失数据下基于经验似然的加权复合分位数回归推断

袁晓惠, 赵雪冬   

  1. 长春工业大学 基础科学学院, 长春 130012
  • 收稿日期:2015-10-30 出版日期:2016-09-26 发布日期:2016-09-19
  • 通讯作者: 袁晓惠 E-mail:yuanxh@ccut.edu.cn

Estimation of Weighted Composite Quantile Regression withMissing Covariates Based on Empirical Likelihood

YUAN Xiaohui, ZHAO Xuedong   

  1. School of Basic Science, Changchun University of Technology, Changchun 130012, China
  • Received:2015-10-30 Online:2016-09-26 Published:2016-09-19
  • Contact: YUAN Xiaohui E-mail:yuanxh@ccut.edu.cn

摘要:

针对协变量随机缺失的线性模型, 提出一种基于经验似然的加权复合分位数回归推断方法, 并证明了在数据随机缺失机制下该方法的大样本性质. 结果表明, 该方法计算简单, 且对回归参数的估计效率高于逆概率加权法.

关键词: 线性模型, 随机缺失, 经验似然, 复合分位数回归, 逆概率加权

Abstract:

We proposed a weighted composite quantile regression method based on empirical likelihood in linear model with some covariates missing at random, and proved the large sample properties of the proposed method under the missing at random mechanism. The results show that the proposed method is computationally simple and the estimation efficiency of the regression parameters is higher than that of the inverse probability weighted method.

Key words: linear model, missing at random, empirical likelihood, composite quantile regression, inverse probability weighting

中图分类号: 

  • O212.4