Four Measures of Association and Their Representations in Terms of Copulas

Autor: Michel Adès, Serge B. Provost, Yishan Zang
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AppliedMath, Vol 4, Iss 1, Pp 363-382 (2024)
Druh dokumentu: article
ISSN: 2673-9909
DOI: 10.3390/appliedmath4010019
Popis: Four measures of association, namely, Spearman’s ρ, Kendall’s τ, Blomqvist’s β and Hoeffding’s Φ2, are expressed in terms of copulas. Conveniently, this article also includes explicit expressions for their empirical counterparts. Moreover, copula representations of the four coefficients are provided for the multivariate case, and several specific applications are pointed out. Additionally, a numerical study is presented with a view to illustrating the types of relationships that each of the measures of association can detect.
Databáze: Directory of Open Access Journals