Linear Subspace Spanned by Principal Points of a Mixture of Spherically Symmetric Distributions

DOI10.1080/03610926.2010.491591zbMath1271.62111OpenAlexW2054279586MaRDI QIDQ3017879

Hiroshi Kurata, Dingxi Qiu

Publication date: 20 July 2011

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

Full work available at URL: https://doi.org/10.1080/03610926.2010.491591

zbMATH Keywords

cluster analysislocation mixtures

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Characterization and structure theory for multivariate probability distributions; copulas (62H05)

Related Items (6)

Properties and generation of representative points of the exponential distribution ⋮ Representative points for location-biased datasets ⋮ 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 ⋮ Principal points for an allometric extension model ⋮ Three kinds of discrete approximations of statistical multivariate distributions and their applications

Cites Work

• On principal points for location mixtures of spherically symmetric distributions
• Two principal points of symmetric, strongly unimodal distributions
• Principal points and self-consistent points of elliptical distributions
• On uniqueness of two principal points for univariate location mixtures
• A comparative study of the \(K\)-means algorithm and the normal mixture model for clustering: univariate case
• Principal points
• Sufficient conditions for uniqueness of a locally optimal quantizer for a class of convex error weighting functions
• Estimation of Principal Points

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