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.
@article{1176343553,
author = {Ruschendorf, Ludger},
title = {Hypotheses Generating Groups for Testing Multivariate Symmetry},
journal = {Ann. Statist.},
volume = {4},
number = {1},
year = {1976},
pages = { 791-795},
language = {en},
url = {http://dml.mathdoc.fr/item/1176343553}
}
Ruschendorf, Ludger. Hypotheses Generating Groups for Testing Multivariate Symmetry. Ann. Statist., Tome 4 (1976) no. 1, pp. 791-795. http://gdmltest.u-ga.fr/item/1176343553/