A comprehensive exploration of complete cross-validation for circular data

• Authors: Kamila Hasilová , Ivana Horová , David Vališ , Stanislav Zámecˇník

Abstracts

EN

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.

Keywords

EN

circular data; kernel density estimation; von Mises density; cross-validation method

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2024
• Volume: 25
• Issue: 3
• Pages: 1-12

Dates

published

2024

Contributors

author

Kamila Hasilová

• University of Defence, Faculty of Military Leadership, Department of Quantitative Methods, Czech Republic

• https://orcid.org/0000000315403489

author

Ivana Horová

• Masaryk University, Faculty of Science, Department of Mathematics and Statistics, Czech Republic

author

David Vališ

• University of Defence,Faculty of Military Technology, Department of Combat and Special Vehicles, Czech Republic

author

Stanislav Zámecˇník

• Masaryk University, Faculty of Science, Department of Mathematics and Statistics, Czech Republic

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Identifiers

DOI

10.59170/stattrans-2024-024

Biblioteka Nauki

56473568