0564724 20230321162101.320221129235959.9 85131134209 000804839000001 10.1111/sjos.12603 19 s. P cav_un_epca*02550010303-6898494 (2022)1586-1604 directional quantile kernel estimation multivariate quantile nonconvex quantile quantile regression reference region tolerance region cav_un_auth*0213091 Hlubinka D. CZ cav_un_auth*0364411 Kotík L. CZ 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/2022/SI/siman-0564724.pdf https://onlinelibrary.wiley.com/doi/10.1111/sjos.12603 GA17-07384S GA ČR cav_un_auth*0345381 GA21-05325S GA ČR cav_un_auth*0409039 The article introduces multivariate quantiles (or reference regions) that have both overall and directional probability interpretation and need not be necessarily convex. They are defined by means of univariate conditional quantiles along the rays starting at a suitable central point. Their basic properties are investigated, their sample estimators and regression extensions are proposed, and their use is illustrated with both simulated and real data. WOS BB 10000 10100 10103 2023 RVO:67985556 https://hdl.handle.net/11104/0336421 cav_un_auth*0296001 Univerzita Karlova v Praze, Matematicko-fyzikální fakulta MFF UK CZ cav_un_auth*0352445 National Radiation Protection Institute SÚRO CZ S 3+4 Article Statistics Probability C STATISTICS&PROBABILITY 1.2 0.2 30.9 0.00248 0.941 4081 0.769 1.000 55 Q3 30 Q2 Q2 0.43 Q3 30 2022 85131134209 SCOPUS PUBMED 000804839000001 WOS cav_un_epca*0255001 Scandinavian Journal of Statistics 0303-6898 1467-9469 Roč. 49 č. 4 2022 1586 1604