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Bias-corrected Kullback-Leibler distance criterion based model selection with covariables missing at random
Wei, Yuting1; Wang, Qihua2; Duan, Xiaogang3; Qin, Jing4
2021-08-01
Source PublicationCOMPUTATIONAL STATISTICS & DATA ANALYSIS
ISSN0167-9473
Volume160Pages:18
AbstractA model selection problem for the conditional probability function of the response variable Y given the covariable vector (X, Z) is considered under the case where X is missing at random. And two novel model selection criteria are suggested. It is shown that the model selection by these two criteria is consistent and that the population parameter estimators, corresponding to the selected model, are also consistent and asymptotically normal. Extensive simulation studies are conducted to investigate the finite-sample performances of the proposed two criteria and a thorough comparison is made with some related model selection strategies. Moreover, two real data analyses are presented for illustrating the practical application of the proposed two criteria. (C) 2021 Elsevier B.V. All rights reserved.
KeywordPseudo empirical likelihood Missing covariates Bias correction
DOI10.1016/j.csda.2021.107224
Indexed BySCI
Language英语
Funding ProjectNational 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, China
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Interdisciplinary Applications ; Statistics & Probability
WOS IDWOS:000652848700005
PublisherELSEVIER
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/58744
Collection应用数学研究所
Corresponding AuthorWang, Qihua
Affiliation1.Univ Sci & Technol China, Dept Stat & Finance, Hefei 230026, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Beijing Normal Univ, Dept Stat, Beijing 100875, Peoples R China
4.NIAID, NIH, Rockville, MD USA
Recommended Citation
GB/T 7714
Wei, Yuting,Wang, Qihua,Duan, Xiaogang,et al. Bias-corrected Kullback-Leibler distance criterion based model selection with covariables missing at random[J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS,2021,160:18.
APA Wei, Yuting,Wang, Qihua,Duan, Xiaogang,&Qin, Jing.(2021).Bias-corrected Kullback-Leibler distance criterion based model selection with covariables missing at random.COMPUTATIONAL STATISTICS & DATA ANALYSIS,160,18.
MLA Wei, Yuting,et al."Bias-corrected Kullback-Leibler distance criterion based model selection with covariables missing at random".COMPUTATIONAL STATISTICS & DATA ANALYSIS 160(2021):18.
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