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

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

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.