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 th...

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Detalles Bibliográficos
Autores: Pérez, Ana, Prieto-Alaiz, Mercedes, Chamizo Lorente, Fernando, Liebscher, Eckhard, Úbeda-Flores, Manuel
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universidad Autónoma de Madrid
Repositorio:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglés
OAI Identifier:oai:repositorio.uam.es:10486/707868
Acceso en línea:http://hdl.handle.net/10486/707868
https://dx.doi.org/10.1016/j.fss.2023.02.010
Access Level:acceso abierto
Palabra clave:Concordance
Copula
Multivariate association
Orthant dependence
Pitman efficiency
Spearman's footrule
Matemáticas
Descripción
Sumario: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