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A semiparametric generalized ridge estimator and link with model averaging
Ullah, Arran1; Wan, Alan T. K.2; Wang, Huansha1; Zhang, Xinyu3,4; Zou, Guohua5
2017
发表期刊ECONOMETRIC REVIEWS
ISSN0747-4938
卷号36期号:1-3页码:370-384
摘要In recent years, the suggestion of combining models as an alternative to selecting a single model from a frequentist prospective has been advanced in a number of studies. In this article, we propose a new semiparametric estimator of regression coefficients, which is in the form of a feasible generalized ridge estimator by Hoerl and Kennard (1970b) but with different biasing factors. We prove that after reparameterization such that the regressors are orthogonal, the generalized ridge estimator is algebraically identical to the model average estimator. Further, the biasing factors that determine the properties of both the generalized ridge and semiparametric estimators are directly linked to the weights used in model averaging. These are interesting results for the interpretations and applications of both semiparametric and ridge estimators. Furthermore, we demonstrate that these estimators based on model averaging weights can have properties superior to the well-known feasible generalized ridge estimator in a large region of the parameter space. Two empirical examples are presented.
关键词Biasing factors mallows ridge estimator squared error loss weight C13 C14
DOI10.1080/07474938.2015.1114564
语种英语
资助项目General Research Grant from the Hong Kong Research Grants Council[9042086] ; National Natural Science Foundation of China[71522004] ; National Natural Science Foundation of China[11471324] ; National Natural Science Foundation of China[11271355] ; National Natural Science Foundation of China[11331011]
WOS研究方向Business & Economics ; Mathematics ; Mathematical Methods In Social Sciences
WOS类目Economics ; Mathematics, Interdisciplinary Applications ; Social Sciences, Mathematical Methods ; Statistics & Probability
WOS记录号WOS:000385938400017
出版者TAYLOR & FRANCIS INC
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/23872
专题系统科学研究所
通讯作者Ullah, Arran
作者单位1.Univ Calif Riverside, Dept Econ, Riverside, CA 92521 USA
2.City Univ Hong Kong, Dept Management Sci, Hong Kong, Hong Kong, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
4.Univ Chinese Acad Sci, Sch Econ & Management, Beijing, Peoples R China
5.Capital Normal Univ, Sch Math Sci, Beijing, Peoples R China
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Ullah, Arran,Wan, Alan T. K.,Wang, Huansha,et al. A semiparametric generalized ridge estimator and link with model averaging[J]. ECONOMETRIC REVIEWS,2017,36(1-3):370-384.
APA Ullah, Arran,Wan, Alan T. K.,Wang, Huansha,Zhang, Xinyu,&Zou, Guohua.(2017).A semiparametric generalized ridge estimator and link with model averaging.ECONOMETRIC REVIEWS,36(1-3),370-384.
MLA Ullah, Arran,et al."A semiparametric generalized ridge estimator and link with model averaging".ECONOMETRIC REVIEWS 36.1-3(2017):370-384.
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