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The Tukey and the random Tukey depths characterize discrete distributions

Authors :
Cuesta-Albertos, J.A.
Nieto-Reyes, A.
Source :
Journal of Multivariate Analysis. Nov2008, Vol. 99 Issue 10, p2304-2311. 8p.
Publication Year :
2008

Abstract

Abstract: Through this paper it is shown that if the Tukey depths of two probabilities, and , coincide and one of those distributions is discrete, then . The same is proved if the random Tukey depths coincide. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
0047259X
Volume :
99
Issue :
10
Database :
Academic Search Index
Journal :
Journal of Multivariate Analysis
Publication Type :
Academic Journal
Accession number :
34954502
Full Text :
https://doi.org/10.1016/j.jmva.2008.02.017