Asymptotic distribution of rank statistics used for multivariate testing symmetry

Marie Husková

Journal of Multivariate Analysis, 1971, vol. 1, issue 4, 461-484

Abstract: 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]).

Keywords: Rank; statistics; testing; symmetry; asymptotic; distribution (search for similar items in EconPapers)
Date: 1971
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