A central limit theorem for generalized trimmed $k$-means is
obtained in a very general framework that covers the multivariate setting,
general penalty functions and general $k \geq 1$. Several applications,
including the location estimator case $(k = 1)$ for elliptical distributions
and the construction of multivariate (not necessarily connected) tolerance
zones, are also given.
Publié le : 1999-06-14
Classification:
Central limit theorem,
k-means,
clustering,
impartial trimming,
robustness,
tolerance zones,
60F05,
62H20,
62G35,
62G15
@article{1018031268,
author = {Garc{\'\i}a-Escudero, Luis A. and Gordaliza, Alfonso and Matr\'an, Carlos},
title = {A central limit theorem for multivariate generalized trimmed
$k$-means},
journal = {Ann. Statist.},
volume = {27},
number = {4},
year = {1999},
pages = { 1061-1079},
language = {en},
url = {http://dml.mathdoc.fr/item/1018031268}
}
Garc{\'\i}a-Escudero, Luis A.; Gordaliza, Alfonso; Matrán, Carlos. A central limit theorem for multivariate generalized trimmed
$k$-means. Ann. Statist., Tome 27 (1999) no. 4, pp. 1061-1079. http://gdmltest.u-ga.fr/item/1018031268/