Asymptotic properties of univariate sample k-means clusters

DOI10.1007/BF01890126zbMath0572.62053MaRDI QIDQ1062391

M. Anthony Wong

Publication date: 1984

Published in: Journal of Classification (Search for Journal in Brave)

zbMATH Keywords

optimal partitionnon-standard asymptoticslarge sample propertiescluster lengthsk-means clustering methodunivariate random samplevariable-cell histogramswithin-cluster sums of squares

Mathematics Subject Classification ID

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

Related Items (2)

Rates of convergence for the empirical quantization error ⋮ Numerical studies of MacQueen's \(k\)-means algorithm for computing the centroidal Voronoi tessellations

Uses Software

• AS 136

Cites Work

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• Algorithm AS 136: A K-Means Clustering Algorithm
• Strong consistency of k-means clustering
• Asymptotic distributions for clustering criteria
• Asymptotic properties of bivariate k-means clusters
• Bounds on performance of optimum quantizers

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