Asymptotic Behavior of the Kernel Density Estimator from a Geometric Viewpoint

DOI10.1080/03610926.2011.585009zbMath1284.62255OpenAlexW2053313593MaRDI QIDQ4648642

Hyun Suk Park

Publication date: 12 November 2012

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2011.585009

zbMATH Keywords

exponential mapsectional curvaturekernel density estimatortangent spaceasymptotic behavior of bias and variance

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)

Related Items

Recent advances in directional statistics, Comparison of relative efficiency of kernel density estimator with the exponential map, Nonparametric recursive regression estimation on Riemannian manifolds

Cites Work

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• Dispersion on a Sphere