On visual distances in density estimation: the Hausdorff choice

DOI10.1016/S0167-7152(98)00133-3zbMath1060.62512OpenAlexW2068090249MaRDI QIDQ1305230

Ricardo Fraiman, Antonio Cuevas

Publication date: 1998

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-7152(98)00133-3

zbMATH Keywords

Hausdorff metricKernel density estimatorsLévy metricVisual distances

Mathematics Subject Classification ID

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

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Cites Work

• Upper semicontinuous functions and the Stone approximation theorem
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• A note on the integrated squared error of a kernel density estimator in non-smooth cases
• Step-function approximations relative to ghe Hausdorff distance
• On Skorokhod Convergence
• On Qualitative Smoothness of Kernel Density Estimates¹
• Visual Error Criteria for Qualitative Smoothing
• An Estimate Concerning the Kolmogroff Limit Distribution
• Robust Statistics
• Set-valued analysis
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