Some Q-Q probability plots to test spherical and elliptical symmetry

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	Some Q-Q probability plots to test spherical and elliptical symmetry
	Li, RZ ; Fang, KT ; Zhu, LX
	1997-12-01
发表期刊	JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS
ISSN	1061-8600
卷号	6 期号:4 页码:435-450
摘要	This article proposes some probability plots are proposed to test spherical and elliptical symmetry in terms of some invariant statistics under orthogonal transformations. Some correlation coefficients as numerical measures of detecting deviation from spherical or elliptical symmetry are recommended, and the empirical percentiles of these correlation coefficients are calculated by simulation. The simulation results for data sets from 12 different populations show that the new plots are useful for testing spherical and elliptical symmetry. Some discussion is given also.
关键词	beta distribution elliptical distribution F-distribution invariant statistics probability plot Q-Q plot robust statistics spherical distribution t-distribution
语种	英语
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:A1997YK83700005
出版者	AMER STATISTICAL ASSOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/28941
专题	中国科学院数学与系统科学研究院
通讯作者	Li, RZ
作者单位	1.CHINESE ACAD SCI,INST APPL MATH,PROBABIL LAB,BEIJING 100080,PEOPLES R CHINA 2.HONG KONG BAPTIST UNIV,DEPT MATH,HONG KONG,HONG KONG
推荐引用方式 GB/T 7714	Li, RZ,Fang, KT,Zhu, LX. Some Q-Q probability plots to test spherical and elliptical symmetry[J]. JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS,1997,6(4):435-450.
APA	Li, RZ,Fang, KT,&Zhu, LX.(1997).Some Q-Q probability plots to test spherical and elliptical symmetry.JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS,6(4),435-450.
MLA	Li, RZ,et al."Some Q-Q probability plots to test spherical and elliptical symmetry".JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS 6.4(1997):435-450.