Affine-invariant classifier of extrapolation depth on the basis of a multilevel smoothing structure

DOI10.1007/S10559-016-9819-0zbMath1347.62109OpenAlexW2321457099MaRDI QIDQ315001

O. A. Galkin

Publication date: 19 September 2016

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-016-9819-0

zbMATH Keywords

depth functionkernel density estimatesmoothing level

Mathematics Subject Classification ID

Density estimation (62G07) Classification and discrimination; cluster analysis (statistical aspects) (62H30)

Cites Work

• Fast nonparametric classification based on data depth
• Characterizing angular symmetry and regression symmetry.
• Structural properties and convergence results for contours of sample statistical depth functions.
• Optimal signed-rank tests based on hyperplanes
• Asymptotics for general multivariate kernel density derivative estimators
• The multivariate L ₁ -median and associated data depth
• A Probabilistic Nearest Neighbour Method for Statistical Pattern Recognition
• Convergence of stochastic processes

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