Institutional Repository of School of Statistics
Semiparametric Hierarchical Composite Quantile Regression | |
Chen, Yanliang; Tang, Man-Lai; Tian, Maozai | |
2015 | |
发表期刊 | COMMUNICATIONS IN STATISTICS-THEORY AND METHODS |
卷号 | 44期号:5页码:996-1012 |
摘要 | In biological, medical, and social sciences, multilevel structures are very common. Hierarchical models that take the dependencies among subjects within the same level are necessary. In this article, we introduce a semiparametric hierarchical composite quantile regression model for hierarchical data. This model (i) keeps the easy interpretability of the simple parametric model; (ii) retains some of the flexibility of the complex non parametric model; (iii) relaxes the assumptions that the noise variances and higher-order moments exist and are finite; and (iv) takes the dependencies among subjects within the same hierarchy into consideration. We establish the asymptotic properties of the proposed estimators. Our simulation results show that the proposed method is more efficient than the least-squares-based method for many non normally distributed errors. We illustrate our methodology with a real biometric data set. |
关键词 | Composite quantile regression Hierarchical data MM algorithm Semiparametric model |
DOI | 10.1080/03610926.2012.755199 |
收录类别 | SCI ; EI ; SCOPUS ; SCIE |
ISSN | 0361-0926 |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Statistics & Probability |
WOS记录号 | WOS:000351220400009 |
出版者 | TAYLOR & FRANCIS INC |
EI入藏号 | 20151200662586 |
EI主题词 | Regression analysis |
原始文献类型 | Journal article (JA) |
EISSN | 1532-415X |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.lzufe.edu.cn/handle/39EH0E1M/1839 |
专题 | 统计与数据科学学院 |
作者单位 | 1.Lanzhou Univ Finance & Econ, Sch Stat, Lanzhou, Peoples R China; 2.Hang Seng Management Coll, Dept Math & Stat, Shatin, Hong Kong, Peoples R China; 3.Renmin Univ China, Sch Stat, Beijing, Peoples R China |
推荐引用方式 GB/T 7714 | Chen, Yanliang,Tang, Man-Lai,Tian, Maozai. Semiparametric Hierarchical Composite Quantile Regression[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS,2015,44(5):996-1012. |
APA | Chen, Yanliang,Tang, Man-Lai,&Tian, Maozai.(2015).Semiparametric Hierarchical Composite Quantile Regression.COMMUNICATIONS IN STATISTICS-THEORY AND METHODS,44(5),996-1012. |
MLA | Chen, Yanliang,et al."Semiparametric Hierarchical Composite Quantile Regression".COMMUNICATIONS IN STATISTICS-THEORY AND METHODS 44.5(2015):996-1012. |
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