Simultaneous Estimation of Multiple Conditional Regression Quantiles
Wu, Yan-ke; Hu, Ya-nan; Zhou, Jian; Tian, Mao-zai
2020-03
发表期刊ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
卷号36期号:2页码:448-457
摘要In this article, we put forward a new approach to estimate multiple conditional regression quantiles simultaneously. Unlike the double summation method in most of the literatures, our proposed model allows continuous variety for the quantile level over (0,1). As a result, all the quantile curves can be obtained via a 2-dimensional surface simultaneously. Most importantly, the proposed minimizing criterion can be readily transformed to a linear programming problem. We use tensor product bi-linear quantile smoothing B-splines to fit it. The asymptotic property of the estimator is derived and a real data set is analyzed to demonstrate the proposed method.
关键词Simultaneous Estimation Conditional Regression Quantiles B-spline Tensor Product
DOI10.1007/s10255-020-0932-5
收录类别SCI ; SCOPUS ; SCIE ; CSCD
ISSN0168-9673
语种英语
WOS研究方向Mathematics
WOS类目Mathematics, Applied
WOS记录号WOS:000525004800015
出版者SPRINGER HEIDELBERG
原始文献类型Article
EISSN1618-3932
引用统计
被引频次[WOS]:0   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.lzufe.edu.cn/handle/39EH0E1M/10246
专题统计与数据科学学院
作者单位1.Guangdong Ocean Univ, Fac Math & Comp Sci, Zhanjiang 524088, Peoples R China;
2.Renmin Univ China, Ctr Appl Stat, Sch Stat, Beijing 100872, Peoples R China;
3.Lanzhou Univ Finance & Econ, Sch Stat, Lanzhou 730101, Peoples R China;
4.Xinjiang Univ Finance & Econ, Sch Stat & Informat, Urumqi 830012, Peoples R China;
5.Zhengzhou Univ, Business Sch, Zhenzhou 450001, Peoples R China;
6.China Acad Transportat Sci, Beijing 100029, Peoples R China
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GB/T 7714
Wu, Yan-ke,Hu, Ya-nan,Zhou, Jian,et al. Simultaneous Estimation of Multiple Conditional Regression Quantiles[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2020,36(2):448-457.
APA Wu, Yan-ke,Hu, Ya-nan,Zhou, Jian,&Tian, Mao-zai.(2020).Simultaneous Estimation of Multiple Conditional Regression Quantiles.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,36(2),448-457.
MLA Wu, Yan-ke,et al."Simultaneous Estimation of Multiple Conditional Regression Quantiles".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 36.2(2020):448-457.
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