A projection nt-type test of elliptical symmetry based on the skewness and kurtosis measures

Kaitai Fang, Runze Li, Lixing Zhu

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In this paper, we propose a new approach to the test of elliptical symmetry based on the projection pursuit (P.P.) technique, the number-theoretic method, skewness and kurtosis. The limiting null distributions of the new statistics are derived. The powers of the tests against six alternatives are calculated by simulation, which shows that the new tests are acceptable.

Original languageEnglish (US)
Pages (from-to)314-323
Number of pages10
JournalActa Mathematicae Applicatae Sinica
Volume14
Issue number3
StatePublished - Dec 1 1998

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Kurtosis
Skewness
Statistics
Projection
Symmetry
Number-theoretic Method
Projection Pursuit
Null Distribution
Limiting Distribution
Alternatives
Simulation

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

Cite this

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A projection nt-type test of elliptical symmetry based on the skewness and kurtosis measures. / Fang, Kaitai; Li, Runze; Zhu, Lixing.

In: Acta Mathematicae Applicatae Sinica, Vol. 14, No. 3, 01.12.1998, p. 314-323.

Research output: Contribution to journalArticle

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