On the exact region determined by Spearman’s ρ and Blest’s measure of rank correlation ν for bivariate extreme-value copulas
研究了二元极值连接函数中Spearman ρ与Blest ν的联合取值范围，给出了精确上下界，并提供了其他秩相关度量的精确区域，最后比较了不同估计量的表现。
Considering pairs of measures of association it has been of interest how much the values of one measure varies, fixing the value of the other one. Motivated by this fact, we establish sharp lower and upper bounds for the region determined by Spearman’s ρ and Blest’s measure of rank correlation ν for bivariate extreme-value copulas (EVCs). Moreover, in the well-studied class of EVCs, exact regions for Spearman’s footrule ϕ /Blomqvist’s β and Spearman’s ρ , Kendall’s τ or Blest’s symmetrised measure of rank correlation ξ are provided. A performance analysis comparing rank-based estimators of ρ and ν with estimators using that the sample is drawn from an extreme-value copula concludes this paper.