A new definition of multidimensional quantile and median is suggested. In addition to displaying the natural property of producing the usual definition when applied to the unidimensional distributions, it preserves both the property of permitting data segmentation into pre-fixed size classes and data scale-invariance.
On a new notion of multidimensional quantile
TIBILETTI, Luisa
1993-01-01
Abstract
A new definition of multidimensional quantile and median is suggested. In addition to displaying the natural property of producing the usual definition when applied to the unidimensional distributions, it preserves both the property of permitting data segmentation into pre-fixed size classes and data scale-invariance.
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