Optimal clustering on the real line

DOI10.1016/0047-259X(88)90104-2zbMath0666.62059MaRDI QIDQ1116592

Ronald W. Butler

Publication date: 1988

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

zbMATH Keywords

consistencyquantizationquantile processcentral limit theoryM-estimatornumber of groupscontinuous populationasymptotic nonparametric confidence intervalbounded locally optimal groupingsDonsker-type theorempiecewise linear interpolation of order statisticssample quantile functionuniversally optimal groupingswithin-group error

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Nonparametric tolerance and confidence regions (62G15)

Related Items (1)

Optimal clustering on the real line

Cites Work

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• Optimal stratification and clustering on the line using the \(L_ 1\)- norm
• Optimal clustering on the real line
• Strong consistency of k-means clustering
• A central limit theorem for k-means clustering
• Asymptotic distributions for clustering criteria
• Unresolved Problems in Cluster Analysis
• Nonparametric Statistical Data Modeling
• Robust Estimation of a Location Parameter
• Some Limit Theorems for Large Deviations

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