The $$\beta $$ β -divergence for Bandwidth Selection in Circular Kernel Density Estimation

Babacar Diakhate (), Hamza Dhaker () and Papa Ngom ()
Additional contact information
Babacar Diakhate: Université Cheikh Anta Diop
Hamza Dhaker: Université de Moncton
Papa Ngom: Université Cheikh Anta Diop

Journal of Agricultural, Biological and Environmental Statistics, 2024, vol. 29, issue 3, No 1, 417-437

Abstract: Abstract The choice of bandwidth is crucial in circular kernel density estimation. Various bandwidth selection techniques have been proposed in the literature. New bandwidth selectors based on the measure $$\beta $$ β -divergence for kernel density estimation with circular data are presented in this work. These selectors are obtained by minimizing the mean of the measure $$\beta $$ β -divergence between the density to be estimated and its estimator. The idea is based on the generalization of the standard method which selects the bandwidth by minimizing the mean integrated squared error (MISE). The performance of the proposed selectors is evaluated through a simulation study and compared with other existing selectors. These selectors are illustrated with some real datasets.

Keywords: Animal orientation; Circular data; Plug-in; von Mises density; Wind direction (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13253-023-00572-z Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jagbes:v:29:y:2024:i:3:d:10.1007_s13253-023-00572-z

Ordering information: This journal article can be ordered from
http://www.springer.com/journal/13253

DOI: 10.1007/s13253-023-00572-z

Access Statistics for this article

Journal of Agricultural, Biological and Environmental Statistics is currently edited by Stephen Buckland

More articles in Journal of Agricultural, Biological and Environmental Statistics from Springer, The International Biometric Society, American Statistical Association
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().