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

On the Exact Regions Determined by Kendall’s Tau and Other Concordance Measures

“…Connections between different (weak) concordance measures were investigated in [9,[16][17][18]27]. Here we only give the results which include Kendall's Figure 1.…”

“…The regions determined by Blomqvist's beta and the other three concordance measures (Spearman's rho, Kendall's tau, and Gini's gamma) are given in [23] as an exercise for the reader, while the region determined by Blomqvist's beta and Spearman's footrule is given in [16]. The region determined by Spearman's footrule and Gini's gamma is given in [17], and the region determined by Spearman's footrule and Spearman's rho is considered in [18]. Observe that the only remaining regions involving Kendall's tau are the regions for Kendall's tau with respect to Gini's gamma and Spearman's footrule.…”

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

“…Connections between different (weak) concordance measures were investigated in [9,27,16,17,18]. Here we give the results which include Kendall's tau.…”

“…In paper [17] the authors introduce the pκ 1 , κ 2 q-similarity measure between (weak) concordance measures κ 1 and κ 2 as κsmpκ 1 , κ 2 q " 1 ´Apκ 1 , κ 2 q p1 ´κ1 pW qqp1 ´κ2 pW qq ,…”

“…The regions determined by Blomqvist's beta and the other three concordance measures (Spearman's rho, Kendall's tau, and Gini's gamma) are given in [23] as an exercise for the reader, while the region determined by Blomqvist's beta and Spearman's footrule is given in [16]. The region determined by Spearman's footrule and Gini's gamma is given in [17], and the region determined by Spearman's footrule and Spearman's rho is considered in [18]. Observe that the only remaining regions involving Kendall's tau are the regions for Kendall's tau with respect to Gini's gamma and Spearman's footrule.…”