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On the exact regions determined by Kendall's tau and other concordance measures

Authors :
Kokol-Bukovšek, Damjana
Stopar, Nik
Source :
Mediterranean journal of mathematics, vol. 20, no. 3, 147, 2023.
Publication Year :
2022
Publisher :
Research Square Platform LLC, 2022.

Abstract

We determine the upper and lower bound for possible values of Kendall's tau of a bivariate copula given that the value of its Spearman's footrule or Gini's gamma is known, and show that these bounds are always attained. Mathematics Subject Classification (2020). 62H20, 62H05, 60E05.

Details

ISSN :
16605446
Database :
OpenAIRE
Journal :
Mediterranean journal of mathematics, vol. 20, no. 3, 147, 2023.
Accession number :
edsair.doi.dedup.....6a62815f310019984fbc5f52787d4a55
Full Text :
https://doi.org/10.21203/rs.3.rs-2238860/v1