Incomplete interdirections and lift-interdirections

0518370 - ÚTIA 2021 RIV GB eng J - Článek v odborném periodiku
Hudecová, Š. - Klicnarová, Jana - Šiman, Miroslav
Incomplete interdirections and lift-interdirections.
Journal of Nonparametric Statistics. Roč. 32, č. 1 (2020), s. 93-108. ISSN 1048-5252. E-ISSN 1029-0311
Grant CEP: GA ČR GA17-07384S
Grant ostatní: GA ČR(CZ) GJ18-01781Y
Institucionální podpora: RVO:67985556
Klíčová slova: interdirection * multivariate rank * multivariate sign * signed-rank test * robustness
Obor OECD: Statistics and probability
Impakt faktor: 1.231, rok: 2020
Způsob publikování: Omezený přístup
http://library.utia.cas.cz/separaty/2019/SI/siman-0518370.pdf https://www.tandfonline.com/doi/full/10.1080/10485252.2019.1700255

The article presents, discusses, and explores incomplete variants of interdirections, lift-interdirections, and symmetrised lift-interdirections (with a few incomplete designs). Although they are easier to compute in high-dimensional spaces than the originals, they can still replace them in many optimal statistical procedures based on signs and ranks without significantly changing their properties. This is proved theoretically and confirmed empirically in a small simulation study dealing with the canonical examples of multivariate sign and signed-rank one-sample tests applied to high-dimensional data sets.
Trvalý link: http://hdl.handle.net/11104/0304157