Relation between non-exchangeability and measures of concordance of copulas

Autor: Bukovšek, Damjana Kokol, Košir, Tomaž, Mojškerc, Blaž, Omladič, Matjaž
Rok vydání: 2019
Předmět:
Zdroj: Journal of mathematical analysis and applications, vol. 487 (2020)
Druh dokumentu: Working Paper
DOI: 10.1016/j.jmaa.2020.123951
Popis: An investigation is presented of how a comprehensive choice of five most important measures of concordance (namely Spearman's rho, Kendall's tau, Gini's gamma, Blomqvist's beta, and their weaker counterpart Spearman's footrule) relate to non-exchangeability, i.e., asymmetry on copulas. Besides these results, the method proposed also seems to be new and may serve as a raw model for exploration of the relationship between a specific property of a copula and some of its measures of dependence structure, or perhaps the relationship between various measures of dependence structure themselves.
Comment: 27 pages, 11 figures
Databáze: arXiv