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A comprehensive exploration of complete cross-validation for circular data

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HASILOVÁ Kamila HOROVÁ Ivanka VALIŠ David ZÁMEČNÍK Stanislav

Rok publikování 2024
Druh Článek v odborném periodiku
Časopis / Zdroj Statistics in Transition new series
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace HASILOVÁ, Kamila, Ivanka HOROVÁ, David VALIŠ a Stanislav ZÁMEČNÍK. A comprehensive exploration of complete cross-validation for circular data. Statistics in Transition new series. Polish Statistical Association, 2024, roč. 25, č. 3, s. 1-12. ISSN 1234-7655. Dostupné z: https://dx.doi.org/10.59170/stattrans-2024-024.
www https://sit.stat.gov.pl/Article/954
Doi http://dx.doi.org/10.59170/stattrans-2024-024
Klíčová slova circular data; kernel density estimation; von Mises density; cross-validation method
Popis Kernel density estimation of circular data has recently received considerable attention for its ability to model and analyse distributions on unit circles and other periodic domains. Our aim is to contribute to the literature on data-driven bandwidth selectors in circular kernel density estimation. We propose a novel circular-specific method that is based on a crossvalidation procedure with a von Mises density used as a kernel function. Using simulated data as well as real-world circular datasets, we evaluate and validate the proposed method and compare it with the existing methods.
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