0542338 20240103225801.920210513235959.9 000662973300061 85109086998 10.1214/21-EJS1850 26 s. P cav_un_epca*03619411935-7524151 (2021)2690-2715Institute of Mathematical Statistics axial symmetry exchangeability permutation symmetry symmetry around a line directional quantile quantile regression cav_un_auth*0385823 Hudecová Š. CZ K cav_un_auth*0266474 Šiman Miroslav UTIA-B Stochastická informatika Department of Stochastic Informatics SI SI Department of Stochastic Informatics CZ Ústav teorie informace a automatizace AV ČR, v. v. i. 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 GA17-07384S GA ČR cav_un_auth*0345381 GA21-05325S GA ČR cav_un_auth*0409039 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. WOS BB 10000 10100 10103 2022 RVO:67985556 http://hdl.handle.net/11104/0320290 cav_un_auth*0296001 Univerzita Karlova v Praze, Matematicko-fyzikální fakulta MFF UK CZ S 3+4 Article Statistics Probability A STATISTICS&PROBABILITY 1.747 0.173 6.8 0.00995 1.562 2756 63 1.501 41.91 1.14 537 Q1 1.115 162 Q3 33.2 Q2 Q1 0.5 Q3 33.2 2021 85109086998 SCOPUS PUBMED 000662973300061 WOS cav_un_epca*0361941 Electronic Journal of Statistics 1935-7524 1935-7524 Roč. 15 č. 1 2021 2690 2715 Institute of Mathematical Statistics