On the uniform consistency of the zonoid depth

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On the uniform consistency of the zonoid depth

Author(s): Cascos Fernández, Ignacio; López Díaz, Miguel
Issued date: 2016-01-01
Citation: Journal of Multivariate Analysis, 2016, 143, 394-397
ISSN: 0047-259X
DOI: https://doi.org/10.1016/j.jmva.2015.09.020
xmlui.dri2xhtml.METS-1.0.item-contributor-funder: Ministerio de Ciencia e Innovación (España)
Sponsor: Research partially supported by grants MTM2011-22993 and ECO2011-25706 of the Spanish Ministry of Science and Innovation and grant FC-15-GRUPIN14-101 of the Principado de Asturias.
Project: Gobierno de España. ECO2011-25706
Gobierno de España. MTM2011-22993
Keywords: Uniform Consistency , Zonoid Depth
URI: http://hdl.handle.net/10016/32199
Rights: Copyright © 2015 Elsevier Inc.
Atribución-NoComercial-SinDerivadas 3.0 España
Copyright © 2015 Elsevier Inc.

Abstract:

Under some mild conditions on probability distribution P, if lim(n) P-n = P weakly then the sequence of zonoid depth functions with respect to P-n converges uniformly to the zonoid depth function with respect to P. (C) 2015 Elsevier Inc. All rights reserved. [+]

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