On uniqueness of two principal points for univariate location mixtures

DOI10.1016/S0167-7152(99)00084-XzbMath0976.62009MaRDI QIDQ1962118

Nobuo Shinozaki, Wataru Yamamoto

Publication date: 8 January 2002

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

zbMATH Keywords

normal mixtureslog-concavitybimodal distributionk-means clustering

Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10)

Related Items (12)

Principal points analysis via p-median problem for binary data ⋮ Uniqueness of principal points with respect to \(p\)-order distance for a class of univariate continuous distribution ⋮ A principal subspace theorem for 2-principal points of general location mixtures of spherically symmetric distributions ⋮ 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 ⋮ Two principal points for location mixtures ⋮ Linear Subspace Spanned by Principal Points of a Mixture of Spherically Symmetric Distributions ⋮ A parametric \(k\)-means algorithm ⋮ Principal points for an allometric extension model ⋮ High precision numerical computation of principal points for univariate distributions ⋮ Higher order \(C(\alpha)\) tests with applications to mixture models

Cites Work

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• Principal points and self-consistent points of symmetric multivariate distributions
• Principal points and self-consistent points of elliptical distributions
• Uniqueness of principal points for univariate distributions
• Principal points
• Note on Grouping
• 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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