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On the uniform consistency of the zonoid depth

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URI: https://hdl.handle.net/10016/32199
ISSN: 0047-259X
DOI: https://doi.org/10.1016/j.jmva.2015.09.020
UXXI: AR/0000017582
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uniform_cascos_JMA_2016.ps.pdf (393.58 KB)
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2016-01-01
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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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Uniform Consistency, Zonoid Depth
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Journal of Multivariate Analysis, 2016, 143, 394-397
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