Kernel density estimation for circular data: a Fourier series-based plug-in approach for bandwidth selection

DOI10.1080/10485252.2022.2057974zbMath1493.62192OpenAlexW4224213178MaRDI QIDQ5078828

Carlos Tenreiro

Publication date: 25 May 2022

Published in: Journal of Nonparametric Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10485252.2022.2057974

zbMATH Keywords

bandwidth selectionkernel density estimationcircular dataplug-in ruleFourier series-based estimators

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)

Uses Software

• R
• KernSmooth
• circular
• movMF
• NPCirc
• DirStats

Cites Work

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• Kernel estimators of density function of directional data
• Kernel density estimation with spherical data
• Exact risk improvement of bandwidth selectors for kernel density estimation with directional data
• Kernel density estimation on the torus
• Local polynomial regression for circular predictors
• Automatic bandwidth selection for circular density estimation
• Exponential models for directional data
• Bandwidth selection for kernel density estimation
• Estimation of integral functionals of a density and its derivatives
• Estimation of densities and derivatives of densities with directional data.
• Adaptive root \(n\) estimates of integrated squared density derivatives
• A plug-in rule for bandwidth selection in circular density estimation
• Kernel density estimation for directional-linear data
• Higher order kernel density estimation on the circle
• Fourier series-based direct plug-in bandwidth selectors for kernel density estimation
• Statistical Analysis of Circular Data
• Remarks on Some Nonparametric Estimates of a Density Function
• On the choice of a truncation point in fourier series density estimation
• On the Integral Mean Square Error of Some Nonparametric Estimates for the Density Function
• Bandwidth selection for kernel density estimation: a Hermite series-based direct plug-in approach
• ASYMPTOTIC PROPERTY OF WRAPPED CAUCHY KERNEL DENSITY ESTIMATION ON THE CIRCLE
• The Estimation of Probability Densities and Cumulatives by Fourier Series Methods
• On Choosing a Delta-Sequence
• On Estimation of a Probability Density Function and Mode

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