An Extended Single-index Model with Missing Response at Random
Wang, Qihua1,2; Zhang, Tao3; Haerdle, Wolfgang Karl4,5
刊名SCANDINAVIAN JOURNAL OF STATISTICS
2016-12-01
卷号43期号:4页码:1140-1152
关键词asymptotic normality estimating equations missing data single-index models
ISSN号0303-6898
DOI10.1111/sjos.12233
英文摘要An extended single-index model is considered when responses are missing at random. A three-step estimation procedure is developed to define an estimator for the single-index parameter vector by a joint estimating equation. The proposed estimator is shown to be asymptotically normal. An algorithm for computing this estimator is proposed. This algorithm only involves one-dimensional nonparametric smoothers, thereby avoiding the data sparsity problem caused by high model dimensionality. Some simulation studies are conducted to investigate the finite sample performances of the proposed estimators.
资助项目National Science Fund for Distinguished Young Scholars in China[10725106] ; National Natural Science Foundation of China[11171331] ; National Natural Science Foundation of China[11331011] ; National Natural Science Foundation of China[11561006] ; Key Lab of Random Complex Structure and Data Science, CAS ; Natural Science Foundation of SZU ; research projects of colleges and universities in Guangxi[KY2015YB171] ; innovation project of Guangxi Graduate Education[JGY2015122] ; Key Base of Humanities and Social Sciences in Guangxi College ; Deutsche Forschungsgemeinschaft[SFB 649]
WOS研究方向Mathematics
语种英语
出版者WILEY-BLACKWELL
WOS记录号WOS:000387456900013
内容类型期刊论文
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/24025]  
专题应用数学研究所
通讯作者Wang, Qihua
作者单位1.Shenzhen Univ, Inst Stat Sci, Shenzhen, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Guangxi Univ Sci & Technol, Sch Sci, Liuzhou, Guangxi, Peoples R China
4.Singapore Management Univ, Sch Business, Singapore, Singapore
5.Humboldt Univ, CASE, Berlin, Germany
推荐引用方式
GB/T 7714
Wang, Qihua,Zhang, Tao,Haerdle, Wolfgang Karl. An Extended Single-index Model with Missing Response at Random[J]. SCANDINAVIAN JOURNAL OF STATISTICS,2016,43(4):1140-1152.
APA Wang, Qihua,Zhang, Tao,&Haerdle, Wolfgang Karl.(2016).An Extended Single-index Model with Missing Response at Random.SCANDINAVIAN JOURNAL OF STATISTICS,43(4),1140-1152.
MLA Wang, Qihua,et al."An Extended Single-index Model with Missing Response at Random".SCANDINAVIAN JOURNAL OF STATISTICS 43.4(2016):1140-1152.
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