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Frequentist model averaging for threshold models
Gao, Yan1,2; Zhang, Xinyu2; Wang, Shouyang2; Chong, Terence Tai-leung3; Zou, Guohua4
2019-04-01
发表期刊ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS
ISSN0020-3157
卷号71期号:2页码:275-306
摘要This paper develops a frequentist model averaging approach for threshold model specifications. The resulting estimator is proved to be asymptotically optimal in the sense of achieving the lowest possible squared errors. In particular, when combining estimators from threshold autoregressive models, this approach is also proved to be asymptotically optimal. Simulation results show that for the situation where the existing model averaging approach is not applicable, our proposed model averaging approach has a good performance; for the other situations, our proposed model averaging approach performs marginally better than other commonly used model selection and model averaging methods. An empirical application of our approach on the US unemployment data is given.
关键词Asymptotic optimality Generalized cross-validation Model averaging Threshold model
DOI10.1007/s10463-017-0642-9
语种英语
资助项目National Natural Science Foundation of China[11529101] ; National Natural Science Foundation of China[11331011] ; Ministry of Education of China[17YJC910011] ; Ministry of Science and Technology of China[2016YFB0502301]
WOS研究方向Mathematics
WOS类目Statistics & Probability
WOS记录号WOS:000459484800002
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/32648
专题系统科学研究所
通讯作者Zhang, Xinyu
作者单位1.Minzu Univ China, Dept Stat, Coll Sci, Beijing 100081, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Chinese Univ Hong Kong, Dept Econ, Shatin, Hong Kong, Peoples R China
4.Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
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Gao, Yan,Zhang, Xinyu,Wang, Shouyang,et al. Frequentist model averaging for threshold models[J]. ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS,2019,71(2):275-306.
APA Gao, Yan,Zhang, Xinyu,Wang, Shouyang,Chong, Terence Tai-leung,&Zou, Guohua.(2019).Frequentist model averaging for threshold models.ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS,71(2),275-306.
MLA Gao, Yan,et al."Frequentist model averaging for threshold models".ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS 71.2(2019):275-306.
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