Nonparametric estimation of the multivariate Spearman's footrule: a further discussion

In this paper, we propose two new estimators of the multivariate rank correlation coefficient Spearman’s footrule which are based on two general estimators for Average Orthant Dependence measures. We compare the new proposals with a previous estimator existing in the literature and show that the thr...

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Détails bibliographiques
Auteurs principaux: Pérez, Ana, Prieto Alaiz, Mercedes, Chamizo, Fernando, Liebscher, Eckhard, Úbeda Flores, Manuel
Format: info:eu-repo/semantics/article
Langue:English
Publié: 2023
Sujets:
Accès en ligne:https://www.sciencedirect.com/science/article/pii/S016501142300057X
http://hdl.handle.net/10835/14928
Description
Résumé:In this paper, we propose two new estimators of the multivariate rank correlation coefficient Spearman’s footrule which are based on two general estimators for Average Orthant Dependence measures. We compare the new proposals with a previous estimator existing in the literature and show that the three estimators are asymptotically equivalent, but, in small samples, one of the proposed estimators outperforms the others. We also analyse Pitman efficiency of these indices to test for multivariate independence as compared to multivariate versions of Kendall’s tau and Spearman’s rho.