Asymptotic distribution of rank statistics used for multivariate testing symmetry

The present paper contains assertions on asymptotic distributions of statistics used for the nonparametric multivariate testing symmetry. The results are proved under the hypothesis of symmetry H1, the near alternative and the general alternative. The proofs of the main theorems (Theorems 2.3, 3.2 and 4.2) are based on the corresponding theorems for univariate case and the theorem on convergence in distribution for vectors (see Theorem V.2.1 in [3]).

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Year of publication:	1971
Authors:	Husková, Marie
Published in:	Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 1.1971, 4, p. 461-484
Publisher:	Elsevier
Keywords:	Rank statistics testing symmetry asymptotic distribution

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005152778