ASYMPTOTICS OF SLICED INVERSE REGRESSION
文献类型：期刊论文
| 作者 | ZHU, LX; NG, KW |
| 刊名 | STATISTICA SINICA
 |
| 出版日期 | 1995-07-01 |
| 卷号 | 5期号:2页码:727-736 |
| 关键词 | ASYMPTOTICS SLICED INVERSE REGRESSION DIMENSION REDUCTION EIGENVALUES AND EIGENVECTORS |
| ISSN号 | 1017-0405 |
| 英文摘要 | Sliced Inverse Regression is a method for reducing the dimension of the explanatory variables x in non-parametric regression problems. Li (1991) discussed a version of this method which begins with a partition of the range of y into slices so that the conditional covariance matrix of a: given y can be estimated by the sample covariance matrix within each slice. After that the mean of the conditional covariance matrix is estimated by averaging the sample covariance matrices over all slices. Hsing and Carroll (1992) have derived the asymptotic properties of this procedure for the special case where each slice contains only two observations. In this paper we consider the case that each slice contains an arbitrary but fixed number of y(i) and more generally the case when the number of y(i) per slice goes to infinity. The asymptotic properties of the associated eigenvalues and eigenvectors are also obtained. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:A1995RN08000021 |
| 出版者 | STATISTICA SINICA |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/27676]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.CHINESE ACAD SCI,INST APPL MATH,BEIJING 100080,PEOPLES R CHINA 2.UNIV HONG KONG,DEPT STAT,HONG KONG,HONG KONG |
| 推荐引用方式 GB/T 7714 | ZHU, LX,NG, KW. ASYMPTOTICS OF SLICED INVERSE REGRESSION[J]. STATISTICA SINICA,1995,5(2):727-736. |
| APA | ZHU, LX,&NG, KW.(1995).ASYMPTOTICS OF SLICED INVERSE REGRESSION.STATISTICA SINICA,5(2),727-736. |
| MLA | ZHU, LX,et al."ASYMPTOTICS OF SLICED INVERSE REGRESSION".STATISTICA SINICA 5.2(1995):727-736. |
入库方式： OAI收割
来源：数学与系统科学研究院
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