32. Old papers by Gordaliza, Matrán et al.
I have run this blog for a year without remembering AoS had published these two papers where probability of fuzzy events plays a role. OK, here you are now.
J.A. Cuesta-Albertos, A. Gordaliza, C. Matrán (1997). Trimmed k-means: an attempt to robustify quantizers, Annals of Statistics 25, 553-576.
L.A. García-Escudero, A. Gordaliza, C. Matrán (1999). A central limit theorem for multivariate generalized trimmed k-means. Annals of Statistics 27, 1061-1079.
Let me quote from the first paper: Notice that the functions ... are a natural generalization of the indicator functions of sets which have probability α (resp. at least α) obtained by introducing the possibility of partial participation of the points in the trimmings.
J.A. Cuesta-Albertos, A. Gordaliza, C. Matrán (1997). Trimmed k-means: an attempt to robustify quantizers, Annals of Statistics 25, 553-576.
L.A. García-Escudero, A. Gordaliza, C. Matrán (1999). A central limit theorem for multivariate generalized trimmed k-means. Annals of Statistics 27, 1061-1079.
Let me quote from the first paper: Notice that the functions ... are a natural generalization of the indicator functions of sets which have probability α (resp. at least α) obtained by introducing the possibility of partial participation of the points in the trimmings.
posted by Pedro Terán at 7:44 PM
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