Optimal clustering on the real line

Ronald W. Butler

Journal of Multivariate Analysis, 1988, vol. 24, issue 1, 88-108

Abstract: The central limit theory associated with universally optimal and bounded locally optimal clustering is presented. The derivation makes use of a Donsker-type theorem for the quantile process that is also proven. Procedures for assessing the numbers of groups represented in the data are also presented.

Keywords: clustering; asymptotic; efficiency; M-estimator; quantization (search for similar items in EconPapers)
Date: 1988
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