Uniqueness of principal points for univariate distributions

DOI10.1016/0167-7152(94)00237-3zbMath0837.62017OpenAlexW1964433228WikidataQ127499052 ScholiaQ127499052MaRDI QIDQ1907926

Luning Li, Bernhard K. Flury

Publication date: 13 February 1996

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

Full work available at URL: https://doi.org/10.1016/0167-7152(94)00237-3

zbMATH Keywords

\(k\)-means algorithmprincipal pointsnormal mixture examplesufficient condition of uniquenessunivariate normal distributions

Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10)

Related Items (15)

Finding the principal points of a random variable ⋮ 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 ⋮ An interesting property of the arcsine distribution and its applications ⋮ Limiting behavior of the gap between the largest two representative points of statistical distributions ⋮ Optimal principal points estimators of multivariate distributions of location-scale and location-scale-rotation families ⋮ On uniqueness of two principal points for univariate location mixtures ⋮ On the asymptotics of trimmed best \(k\)-nets ⋮ A parametric \(k\)-means algorithm ⋮ Model misspecification ⋮ Impartial trimmed \(k\)-means for functional data ⋮ High precision numerical computation of principal points for univariate distributions ⋮ A central limit theorem for multivariate generalized trimmed \(k\)-means ⋮ Asymptotics for trimmed \(k\)-means and associated tolerance zones.

Cites Work

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• Two principal points of symmetric, strongly unimodal distributions
• Principal points
• Note on Grouping
• On the Uniqueness of Best L 2 [ 0, 1 Approximation by Piecewise Polynomials with Variable Breakpoints]
• Optimal Grouping, Spacing, Stratification, and Piecewise Constant Approximation
• Printer graphics for clustering
• Estimation of Principal Points
• Estimating the components of a mixture of normal distributions

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