The Tukey and the random Tukey depths characterize discrete distributions

Through this paper it is shown that if the Tukey depths of two probabilities, P and Q, coincide and one of those distributions is discrete, then P=Q. The same is proved if the random Tukey depths coincide.

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Year of publication:	2008
Authors:	Cuesta-Albertos, J.A. ; Nieto-Reyes, A.
Published in:	Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 99.2008, 10, p. 2304-2311
Publisher:	Elsevier
Keywords:	62H05 Tukey depth Random Tukey depth One-dimensional projections Multi-dimensional data Characterization Discrete distributions

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005160496