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A rate of convergence in clustering analysis

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  • Romo, Juan

Abstract

We present a result about stochastic boundedness of stable empirical processes on Vapnik-Cervonenkis classes of functions and we apply it to obtain a rate of convergence for the approximation between the sample and the populational variation in the k-centroids problem in clustering analysis.

Suggested Citation

  • Romo, Juan, 1992. "A rate of convergence in clustering analysis," UC3M Working papers. Economics 2884, Universidad Carlos III de Madrid. Departamento de Economía.
    • Handle: RePEc:cte:werepe:2884
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    References listed on IDEAS

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    1. Butler, Ronald W., 1986. "Optimal stratification and clustering on the line using the 1-norm," Journal of Multivariate Analysis, Elsevier, vol. 19(1), pages 142-155, June.
    2. Butler, Ronald W., 1988. "Optimal clustering on the real line," Journal of Multivariate Analysis, Elsevier, vol. 24(1), pages 88-108, January.
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      Keywords

      Clustering analysis;

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