On some tests-based projection pursuit for elliptical symmetry of a high-dimensional distribution

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	On some tests-based projection pursuit for elliptical symmetry of a high-dimensional distribution
	Jing, P ; Zhu, LX
	1998-03-01
发表期刊	CHINESE SCIENCE BULLETIN
ISSN	1001-6538
卷号	43 期号:6 页码:450-458
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.
关键词	bootstrap approximation projection pursuit type statistic elliptical symmetry
语种	英语
WOS研究方向	Science & Technology - Other Topics
WOS类目	Multidisciplinary Sciences
WOS记录号	WOS:000073926600004
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13605
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.