Journal of Computational and Applied Mathematics2022,Vol.41013.DOI:10.1016/j.cam.2022.114212

On the exact region determined by Spearman's footrule and Gini's gamma

Bukovsek, Damjana Kokol Mojskerc, Blaz
Journal of Computational and Applied Mathematics2022,Vol.41013.DOI:10.1016/j.cam.2022.114212

On the exact region determined by Spearman's footrule and Gini's gamma

Bukovsek, Damjana Kokol 1Mojskerc, Blaz2
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作者信息

  • 1. Univ Ljubljana
  • 2. Inst Math Phys & Mech
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Abstract

A concordance measure is often a better way to model dependence than Pearson's correlation coefficient since it is invariant with respect to monotone increasing transformations of the random variables. In this paper, we focus on the relationships between Gini's gamma and Spearman's footrule. We establish the exact region determined by them. We also present copulas where the bounds of the region are attained. We introduce the concordance similarity measure and compute it for all pairs of (weak) concordance measures for which the exact regions determined by them are known. (c) 2022 Elsevier B.V. All rights reserved.

Key words

Copula/Dependence concepts/Concordance measure/Gini's gamma/Spearman's footrule/BIVARIATE COPULAS/KENDALLS TAU/CONCORDANCE/RHO

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出版年

2022
Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics

EISCI
ISSN:0377-0427
被引量2
参考文献量35
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