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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 |
DOI | 10.1007/s10255-020-0932-5 |
收录类别 | SCI ; SCOPUS ; SCIE ; CSCD |
ISSN | 0168-9673 |
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 |
EISSN | 1618-3932 |
引用统计 | |
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 |
推荐引用方式 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. |
条目包含的文件 | ||||||
文件名称/大小 | 文献类型 | 版本类型 | 开放类型 | 使用许可 | ||
15456.pdf(426KB) | 期刊论文 | 出版稿 | 暂不开放 | CC BY-NC-SA | 请求全文 |
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