Distance‐based depths for directional data
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Publication:4960935
DOI10.1002/cjs.11479zbMath1492.62095arXiv1710.00080OpenAlexW2963853078WikidataQ128675112 ScholiaQ128675112MaRDI QIDQ4960935
Giovanni C. Porzio, Davy Paindaveine, Giuseppe Pandolfo
Publication date: 24 April 2020
Published in: Canadian Journal of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.00080
hyperspheressupervised classificationstatistical deptharc distance depthspherical locationchord distance depthcosine distance depth
Directional data; spatial statistics (62H11) Asymptotic properties of nonparametric inference (62G20)
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Robust mean-variance portfolio through the weighted \(L^p\) depth function ⋮ The GLD-plot: a depth-based graphical tool to investigate unimodality of directional data ⋮ Recent advances in directional statistics ⋮ Depth and outliers for samples of sets and random sets distributions ⋮ Clustering directional data through depth functions ⋮ Distance-based directional depth classifiers: a robustness study ⋮ Spatial quantiles on the hypersphere ⋮ Tukey’s Depth for Object Data ⋮ Halfspace depth and floating body ⋮ On the optimality of the max-depth and max-rank classifiers for spherical data.
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