On the Asymptotics of Trimmed Best k-Nets

Trimmed best k-nets were introduced in J. A. Cuesta-Albertos, A. Gordaliza and C. Matrán (1998, Statist. Probab. Lett. 36, 401–413) as a robustified L ∞-based quantization procedure. This paper focuses on the asymptotics of this procedure. Also, some possible applications are briefly sketched to mot...

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Veröffentlicht in:	Journal of multivariate analysis 2002-08, Vol.82 (2), p.486-516
Hauptverfasser:	Cuesta-Albertos, J.A., Garcı́a-Escudero, L.A., Gordaliza, A.
Format:	Artikel
Sprache:	eng
Schlagworte:	clustering methods consistency Exact sciences and technology high-density zones L[infinity]-norm trimmed best k-nets clustering methods consistency weak limit law high-density zones mode estimation Limit theorems L∞-norm Mathematics mode estimation Multivariate analysis Numerical analysis Numerical analysis. Scientific computation Numerical methods in probability and statistics Parametric inference Probability and statistics Probability theory and stochastic processes Sciences and techniques of general use Statistics trimmed best k-nets weak limit law
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