20.500.12556/DiRROS-28798 The exact region determined by Spearman’s footrule, Gini’s gamma and Kendall’s tau To quantify the degree of association between random variables, concordance measures are employed. To express such a degree, a single measure might give too much space, so several are used for comparison. In this paper we study the ternary relation between three well-known (weak) concordance measures, namely Blomqvist’s beta, Concordance measures are used to express the degree of association between random variables. Practitioners may use several distinct concordance measures to narrow down the space of possible dependence structures. Consequently, the relations between different (weak) concordance measures have been extensively studied in recent years. The goal of this paper is to study the relation between Kendall’s tau, Gini’s gamma and Spearman’s footrule. In particular, we describe the exact region determined by these three measures, using shuffles of M and ordinal sums of copulas. We also provide the formulas for five main (weak) concordance measures and Chatterjee’s xi of ordinal sums of copulas. copula dependence concepts supremum and infimum of a set of copulas measures of concordance quasi-copula local bounds kopula koncepti odvisnosti supremum in infimum množice kopul mere skladnosti kvazikopula lokalne meje true false true Angleški jezik Slovenski jezik Neznano 2026-04-08 09:13:08 2026-04-08 09:13:08 2026-04-09 03:51:15 0000-00-00 00:00:00 2026 0 0 19 str. article no. 117639 Vol. 486 Nov. 2026 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2026-11-01 519.2 0377-0427 10.1016/j.cam.2026.117639 273645315 1-s2.0-S0377042726002827-main.pdf 1-s2.0-S0377042726002827-main.pdf 1 C48EE892D8D8E4D3288DEC18C5AEA7F5 46104bfaec08d8024a8a712385c4f28ba05ae2692060c0bbb0e10d2958f32ec1 a072d42b-331a-11f1-b941-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=42891 https://www.sciencedirect.com/science/article/pii/S0377042726002827 1 67895d8c-331a-11f1-b941-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=42890 Inštitut za matematiko, fiziko in mehaniko 0 0 0