Testing axial symmetry by means of directional regression quantiles

0542338 - ÚTIA 2022 RIV US eng J - Článek v odborném periodiku
Hudecová, Š. - Šiman, Miroslav
Testing axial symmetry by means of directional regression quantiles.
Electronic Journal of Statistics. Roč. 15, č. 1 (2021), s. 2690-2715. ISSN 1935-7524. E-ISSN 1935-7524
Grant CEP: GA ČR GA17-07384S; GA ČR GA21-05325S
Institucionální podpora: RVO:67985556
Klíčová slova: axial symmetry * exchangeability * permutation symmetry * symmetry around a line * directional quantile * quantile regression
Obor OECD: Statistics and probability
Impakt faktor: 1.225, rok: 2021
Způsob publikování: Open access
http://library.utia.cas.cz/separaty/2021/SI/siman-0542338.pdf https://projecteuclid.org/journals/electronic-journal-of-statistics/volume-15/issue-1/Testing-axial-symmetry-by-means-of-directional-regression-quantiles/10.1214/21-EJS1850.full

The article describes how directional quantiles can be useful for testing the null hypothesis that a multivariate distribution is symmetric around a line in a given direction. It also generalizes the proposed tests to residual distributions in a linear regression setup, discusses their use for statistical inference regarding equality of distributions, equality of scale, or exchangeability, and illustrates the achievements with carefully designed pictures and examples.
Trvalý link: http://hdl.handle.net/11104/0320290