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A PROJECTION NT-TYPE TEST OF ELLIPTICAL SYMMETRY BASED ON THE SKEWNESS AND KURTOSIS MEASURES

A PROJECTION NT-TYPE TEST OF ELLIPTICAL SYMMETRY BASED ON THE SKEWNESS AND KURTOSIS MEASURES
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摘要 In this paper, we propose a new approach to the test of elliptical symmetry based on theprojection pursuit (P.P.) technique, the number-theoretic method, skewness and kurtosis. Thelimiting null distributions of the new statistics are derived. The powers of the tests against sixalternatives are calculated by simulation, which shows that the new t.st's are acceptable. In this paper, we propose a new approach to the test of elliptical symmetry based on theprojection pursuit (P.P.) technique, the number-theoretic method, skewness and kurtosis. Thelimiting null distributions of the new statistics are derived. The powers of the tests against sixalternatives are calculated by simulation, which shows that the new t.st's are acceptable.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1998年第3期314-323,共10页 应用数学学报(英文版)
关键词 KURTOSIS number theoretic method projection pursuit skewness test of elliptical symmetryl union-intersection principle Kurtosis, number theoretic method, projection pursuit, skewness,test of elliptical symmetryl union-intersection principle
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  • 1K.T. Fang,L.X. Zhu and P.M. Bentler.A Necessary Test for Sphericity of a High-dimensionalDistribution. Journal of Multivariate Analysis . 1993 被引量:1
  • 2L. Baringhaus.Testing for Spherical Symmetry of a Multivariate Distribution. The Annals of Statistics . 1991 被引量:1
  • 3R. Beran.Testing for Elliptical Symmetry of a Multivariate Density. The Annals of Statistics . 1979 被引量:1
  • 4K.T. Fang and Y.T. Zhang.Generalized Multivariate Analysis. . 1990 被引量:1
  • 5L.X. Zhu,H.L. Wong and K.T. Fang.A Test for Multivariate Normality Based on Sample Entropyand Projection Pursuit. J. Statistical Planning and inference . 1995 被引量:1
  • 6S.N. Roy.On a Heuristic Method of Test Construction and its Use in Multivariate Analysis. Annals of Mathematical Statistics . 1953 被引量:1
  • 7K.T. Fang,S. Kotz and K.W. Ng.Symmetric Multivariate and Related Distribution. . 1990 被引量:1
  • 8S. Cambanis,S. Huang and G. Simons.On the Theory of Elliptically Contoured Distributions.J.Multivariate. Anal Anal . 1981 被引量:1
  • 9J.F. Alalkovich and A.A. Afifi.On Tests for Multivariate Normality. The Journal of The Acoustical Society of America . 1973 被引量:1
  • 10T. Kariya and M.L. Eaton.Robust Tests for Spherical Symmetry. The Annals of Statistics . 1977 被引量:1

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