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Pollard, David

A central limit theorem for k-means clustering. (English) Zbl 0502.62055

Ann. Probab. 10, 919-926 (1982).
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Cited in 3 Reviews
Cited in 67 Documents

MSC:

62H30 Classification and discrimination; cluster analysis (statistical aspects)
60F05 Central limit and other weak theorems
60F17 Functional limit theorems; invariance principles
60B05 Probability measures on topological spaces
60G60 Random fields

Keywords:

k-means clustering; asymptotic normality; minimized within cluster sum of squares; differentiability in quadratic mean; Donsker classes of functions; empirical processes

Citations:

Zbl 0377.62033; Zbl 0468.60009
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