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Hypotheses Generating Groups for Testing Multivariate Symmetry

Ludger Ruschendorf

The Annals of Statistics · 1976 · Volume 4 · Issue 4

DOI: 10.1214/aos/1176343553

Abstract

Hypotheses generating groups are constructed for the class of multivariate symmetric distributions and for the corresponding multisample problems. Defining ranks as maximal invariants under these groups we get distribution free procedures. Applications to further multivariate test problems are indicated.

Keywords

62A05, 62G10, 62H15, Bounded completeness, Hypotheses generating groups, multivariate symmetry, ranks, Rosenblatt's transformation

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