Behboodian, Javad; Dolati, Ali; Úbeda-Flores, Manuel A multivariate version of Gini’s rank association coefficient. (English) Zbl 1110.62081 Stat. Pap. 48, No. 2, 295-304 (2007). Summary: We introduce a multivariate generalization of the population version of Gini’s rank association coefficient, giving a response to an open question posed by R. B. Nelsen [Concordance and copulas: a survey. C. Cuadras, J. Fortiana and J. A. Rodríguez (eds.), Distributions with given Marginals and Statistical Modelling. 169–178 (2002); see also J. Nonparametric Stat. 9, No. 3, 227–238 (1998; Zbl 0919.62057)]. We also study some properties of this version, present the corresponding results for the sample statistic, and provide several examples. Cited in 18 Documents MSC: 62H20 Measures of association (correlation, canonical correlation, etc.) 62H05 Characterization and structure theory for multivariate probability distributions; copulas Keywords:copulas; Gini’s coefficient; multivariate association Citations:Zbl 0919.62057 PDFBibTeX XMLCite \textit{J. Behboodian} et al., Stat. Pap. 48, No. 2, 295--304 (2007; Zbl 1110.62081) Full Text: DOI References: [1] Gini C. (1914). L’Ammontare e la composizione della ricchezza delle nazione. Bocca, Torino. [2] Gould, H.W. (1972). Combinatorial Identities. Morgantown Printing and Binding Co., W. Va. · Zbl 0263.05013 [3] Nelsen, R.B. (1999). An Introduction to Copulas, Springer, New York. · Zbl 0909.62052 [4] Nelsen, R.B. (2002). Concordance and copulas: A survey. In: C. Cuadras, J. Fortiana, J.A. Rodríguez (Eds.), Distributions with Given Marginals and Statistical Modelling, Kluwer Academic Publishers, Dordrecht, pp. 169–178. · Zbl 1135.62337 [5] Úbeda-Flores, M. (2005). Multivariate versions of Blomqvist’s beta and Spearman’s footrule. Ann. Inst. Statist. Math. In press. · Zbl 1093.62060 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.