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Model averaging for linear models with responses missing at random
Wei, Yuting1; Wang, Qihua2,3; Liu, Wei4
2020-07-01
发表期刊ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS
ISSN0020-3157
页码19
摘要In this paper, a model averaging approach is developed for the linear regression models with response missing at random. It is shown that the proposed method is asymptotically optimal in the sense of achieving the lowest possible squared error. A Monte Carlo study is conducted to investigate the finite sample performance of our proposal by comparing with some related methods, and the simulation results favor the proposed method. Moreover, a real data analysis is given to illustrate the practical application of our proposal.
关键词Missing responses Missing at random Model averaging Asymptotic optimality
DOI10.1007/s10463-020-00759-y
收录类别SCI
语种英语
资助项目National Natural Science Foundation of China[11871460] ; National Natural Science Foundation of China[11331011] ; National Natural Science Foundation of China[61621003] ; Key Lab of Random Complex Structure and Data Science, CAS
WOS研究方向Mathematics
WOS类目Statistics & Probability
WOS记录号WOS:000544877000001
出版者SPRINGER HEIDELBERG
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/51766
专题应用数学研究所
通讯作者Wang, Qihua
作者单位1.Univ Sci & Technol China, Dept Stat & Finance, Hefei 230026, Peoples R China
2.Zhejiang Gongshang Univ, Sch Stat & Math, Hangzhou 310018, Zhejiang, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
4.York Univ, Dept Math & Stat, Toronto, ON M3J 1P3, Canada
推荐引用方式
GB/T 7714
Wei, Yuting,Wang, Qihua,Liu, Wei. Model averaging for linear models with responses missing at random[J]. ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS,2020:19.
APA Wei, Yuting,Wang, Qihua,&Liu, Wei.(2020).Model averaging for linear models with responses missing at random.ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS,19.
MLA Wei, Yuting,et al."Model averaging for linear models with responses missing at random".ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS (2020):19.
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