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删失数据下岭回归的平均估计

胡国治 曾婕 程维虎

统计与决策2025,Vol.41Issue(22):5-11,7.
统计与决策2025,Vol.41Issue(22):5-11,7.DOI:10.13546/j.cnki.tjyjc.2025.22.001

删失数据下岭回归的平均估计

Average Estimate for Ridge Regression With Censored Data

胡国治 1曾婕 1程维虎2

作者信息

  • 1. 合肥师范学院 数学与统计学院,合肥 230601
  • 2. 北京工业大学 数学统计学与力学学院,北京 100124
  • 折叠

摘要

Abstract

In linear regression models,when there is a high degree of collinearity among covariates,ridge regression is an ef-fective method to optimize the estimation effect.In ridge regression,the selection of ridge parameters is of vital importance as it determines the quality of the ridge regression estimation.This paper studies the average estimation of ridge regression when the re-sponse variable is right censored.Firstly,by combining with the ridge estimators under different ridge parameters,a new ridge re-gression average estimator is constructed.Secondly,a cross-validation-based weight choice criterion is developed to assign model weights and its asymptotic optimality is proved.Finally,a simulation study and a real data analysis demonstrate the superiority of the proposed model averaging method over other traditional methods.

关键词

岭回归/模型平均/删失数据/交叉验证/渐近最优性

Key words

ridge regression/model averaging/censored data/cross validation/asymptotic optimality

分类

数理科学

引用本文复制引用

胡国治,曾婕,程维虎..删失数据下岭回归的平均估计[J].统计与决策,2025,41(22):5-11,7.

基金项目

安徽省哲学社会科学规划项目(AHSKYQ2023D038) (AHSKYQ2023D038)

统计与决策

OA北大核心

1002-6487

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