Abstract
In this paper we define multivariate versions of the medial correlation coefficient and the rank correlation coefficient Spearman’s footrule in terms of copulas. We also present corresponding results for the sample statistic and provide a comparison of lower bounds among different measures of multivariate association.
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Blomqvist, N. (1950). On a measure of dependence between two random variables,Annals of Mathematical Statistics,21, 593–600.
Nelsen, R. B. (1993). Some concepts of bivariate symmetry,Nonparametric Statistics,3, 95–101.
Nelsen, R. B. (1996). Nonparametric Measures of Multivariate Association,Distributions with Fixed Marginals and Related Topics (eds. L. Rüschendorf, B. Schweizer and M. D. Taylor), 223–232, IMS Lecture Notes-Monograph Series, No. 28, Hayward, California.
Nelsen, R. B. (1999).An Introduction to Copulas, Springer, New York.
Nelsen, R. B. (2002). Concordance and copulas: A survey,Distributions with Given Marginals and Statistical Modelling (eds. C. Cuadras, J., Fortiana and J. A. Rodríguez), 169–178, Kluwer Academic Publishers, Dordrecht.
Nelsen, R. B. and Úbeda-Flores, M. (2004). A comparison of bounds on sets of joint distribution functions derived from various measures of association,Communications in Statistics—Theory and Methods,33, 2299–2305.
Rodríguez-Lallena, J. A. and Úbeda-Flores, M. (2004). Best-possible bounds on sets of multivariate distribution functions,Communications in Statistics—Theory and Methods,33, 805–820.
Spearman, C. (1906) ‘Footrule’ for measuring correlation,British Journal of Psychology,2, 89–108.
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Úbeda-Flores, M. Multivariate versions of Blomqvist’s beta and Spearman’s footrule. Ann Inst Stat Math 57, 781–788 (2005). https://doi.org/10.1007/BF02915438
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DOI: https://doi.org/10.1007/BF02915438