Bibliografie
Journal Article
Testing symmetry around a subspace
,
: Statistical Papers vol.62, 5 (2021), p. 2491-2508
: GA17-07384S, GA ČR
: axial symmetry, halfspace symmetry, exchangeability, canonical correlation
: http://library.utia.cas.cz/separaty/2021/SI/siman-0546292.pdf
: https://link.springer.com/article/10.1007/s00362-020-01201-4
(eng): The article shows how some common measures of association between two random vectors may be used to test multivariate symmetry around a subspace (possibly up to a shift), which also permits testing exchangeability, axial symmetry, halfspace symmetry, and certain goodness-of-fit and equality-of-scale hypotheses. The resulting (parametric, nonparametric, permutation, and asymptotic) tests of the symmetry, consistent in the class of all elliptical distributions, are also illustrated with a few simulation and real data examples.
: BA
: 10103