On principal points for location mixtures of spherically symmetric distributions

DOI10.1016/j.jspi.2005.11.010zbMath1145.62044OpenAlexW1985876744MaRDI QIDQ947243

Hiroshi Kurata

Publication date: 29 September 2008

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2005.11.010

zbMATH Keywords

orthogonal groupmajorizationmean squared distancegroup-induced ordering

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Characterization and structure theory for multivariate probability distributions; copulas (62H05)

Related Items (12)

Principal points analysis via p-median problem for binary data ⋮ A principal subspace theorem for 2-principal points of general location mixtures of spherically symmetric distributions ⋮ A note on the fourth cumulant of a finite mixture distribution ⋮ Principal points of a multivariate mixture distribution ⋮ Optimal estimators of principal points for minimizing expected mean squared distance ⋮ Optimal principal points estimators of multivariate distributions of location-scale and location-scale-rotation families ⋮ Self-consistency and a generalized principal subspace theorem ⋮ Linear Subspace Spanned by Principal Points of a Mixture of Spherically Symmetric Distributions ⋮ A comparative study of the \(K\)-means algorithm and the normal mixture model for clustering: bivariate homoscedastic case ⋮ Principal points for an allometric extension model ⋮ High precision numerical computation of principal points for univariate distributions ⋮ Three kinds of discrete approximations of statistical multivariate distributions and their applications

Cites Work

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• The multivariate normal distribution
• Principal points and self-consistent points of elliptical distributions
• Principal points
• TWO PRINCIPAL POINTS FOR MULTIVARIATE LOCATION MIXTURES OF SPHERICALLY SYMMETRIC DISTRIBUTIONS
• Estimation of Principal Points
• Inequalities: theory of majorization and its applications

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