On some tests-based projection pursuit for elliptical symmetry of a high-dimensional distribution
文献类型:期刊论文
作者 | Jing, P; Zhu, LX |
刊名 | CHINESE SCIENCE BULLETIN
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出版日期 | 1998-03-01 |
卷号 | 43期号:6页码:450-458 |
关键词 | bootstrap approximation projection pursuit type statistic elliptical symmetry |
ISSN号 | 1001-6538 |
英文摘要 | Some test statistics of Kolmogorov type and Cramer-von Mises type based on projection pursuit technique are proposed for the testing problem of sphericity of a high-dimensional distribution. The limiting distributions of the test statistics are derived under the null hypothesis and under any fixed alternative. The asymptotic properties of bootstrap approximation are investigated. Furthermore, for computational reasons, an approximation for the statistics, based on the number theoretic method, is suggested. |
WOS研究方向 | Science & Technology - Other Topics |
语种 | 英语 |
WOS记录号 | WOS:000073926600004 |
出版者 | SCIENCE PRESS |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13604] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Jing, P |
作者单位 | 1.China Univ Min & Technol, Math Lab, Beijing 100083, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Probabil Lab, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Jing, P,Zhu, LX. On some tests-based projection pursuit for elliptical symmetry of a high-dimensional distribution[J]. CHINESE SCIENCE BULLETIN,1998,43(6):450-458. |
APA | Jing, P,&Zhu, LX.(1998).On some tests-based projection pursuit for elliptical symmetry of a high-dimensional distribution.CHINESE SCIENCE BULLETIN,43(6),450-458. |
MLA | Jing, P,et al."On some tests-based projection pursuit for elliptical symmetry of a high-dimensional distribution".CHINESE SCIENCE BULLETIN 43.6(1998):450-458. |
入库方式: OAI收割
来源:数学与系统科学研究院
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