Please use this identifier to cite or link to this item: https://research.matf.bg.ac.rs/handle/123456789/1898
Title: Independence tests for circular data
Other Titles: Testovi nezavisnosti za cirkularne podatke
Authors: Ebner, B.
Cuparić, Marija 
Milošević, Bojana 
Affiliations: Probability and Mathematical Statistics 
Probability and Mathematical Statistics 
Issue Date: 2023
Rank: M64
Publisher: Beograd : Matematički fakultet
Related Publication(s): 13. Simpozijum "Matematika i primene" 2023
Conference: Simpozijum "Matematika i primene"(13 ; 2023 ; Beograd)
Abstract: 
In many diverse scientific fields, the measurements are directions. In the two-dimensional case, directions can be represented as points on the circumference of a unit circle centered at the origin or as unit vectors connecting the origin to these points, named circular data. The numerical representation of circular data as an angle or a unit vector is not necessarily unique, because of that many of the usual linear techniques and measures are often misleading. In this regard, we propose a new class of tests whose test statistic is the distance correlation coefficient based on energy distance. Also, we propose two generalizations based on kernel functions. For all test statistics, asymptotic properties are obtained and an empirical study is conducted.
URI: https://research.matf.bg.ac.rs/handle/123456789/1898
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