The Tukey and the random Tukey depths characterize discrete distributions

J.A. Cuesta-Albertos and A. Nieto-Reyes

Journal of Multivariate Analysis, 2008, vol. 99, issue 10, 2304-2311

Abstract: 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.

Keywords: 62H05; Tukey; depth; Random; Tukey; depth; One-dimensional; projections; Multi-dimensional; data; Characterization; Discrete; distributions (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (4)

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