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

14 citations · 29 across the 15 of their papers we have counts for

collaborators

15 papers

math.ST2026

Concordance, symmetrization and non-exchangeability for bivariate copulas

Ávaro Rodríguez-García, Manuel Úbeda-Flores

We study the relationship between measures of non-exchangeability (), in the sense of Durante et al. (2010), and classical dependence functionals for bivaria…

math.ST2026

New Baire category results for stochastic orders on bivariate copulas

María del Rosario Rodríguez-Griñolo, Manuel Úbeda-Flores

In the sense of Baire categories, we prove that the set of pairs of bivariate copulas that are comparable -- in either direction -- under the increasing convex order is nowhere den…

math.ST2026

Characterizing Schur-concave commutative copulas as the closure of associative ones

Manuel Úbeda-Flores

Let denote the class of associative copulas, and let be the closure, in the uniform metric , of the convex hull of $\mathcal{C}…

math.ST2026

Quantitative analysis of non-exchangeability in bivariate copulas: Sharp bounds, statistical tests and mixing constructions

Manuel Úbeda-Flores

This paper studies the degree to which a bivariate copula fails to be symmetric under coordinate permutation, a property known as non-exchangeability. Working within an axiomatic f…

math.ST2026

The W-footrule coefficient: A copula-based measure of countermonotonicity

Enrique de Amo, David García-Fernández, Manuel Úbeda-Flores

We introduce the -footrule coefficient , a copula-based coefficient of negative association defined as the -distance to the countermonotonic copula . We prove that…

math.ST2026

Convex lineability in copula and quasi-copula sets

Enrique de Amo, Juan Fernández-Sánchez, David García-Fernández +1

In this paper, we investigate several subsets of -copulas and -quasi-copulas from the perspective of convex-lineability and the recently introduced concept of convex-spaceabi…

math.ST2026

Directional footrule-coefficients

Enrique de Amo, David García-Fernández, Manuel Úbeda-Flores

Rank-based dependence measures such as Spearman's footrule are robust and invariant, but they often fail to capture directional or asymmetric dependence in multivariate settings. T…

math.ST2025

Directional -coefficients

Enrique de Amo, David García-Fernández, Manuel Úbeda-Flores

In this paper we obtain advances for the concept of directional -coefficients, originally defined for the trivariate case in [Nelsen, R.B., Úbeda-Flores, M. (2011). Directional…

math.ST2025★ 3 cited

Total positivity and dependence of order statistics

Enrique de Amo, José Juan Quesada-Molina, Manuel Úbeda-Flores

In this comprehensive study, we delve deeply into the concept of multivariate total positivity, defining it in accordance with a direction. We rigorously explore numerous salient p…

math.DS2025★ 3 cited

Supports of quasi-copulas

Juan Fernández-Sánchez, José Juan Quesada-Molina, Manuel Úbeda-Flores

It is known that for every there is a copula whose support is a self-similar fractal set with Hausdorff -- and box-counting -- dimension . In this paper we provide s…

math.PR2025★ 6 cited

Extreme semilinear copulas

Fabrizio Durante, Juan Fernández-Sánchez, Manuel Úbeda-Flores

We study the extreme points (in the Krein-Milman sense) of the class of semilinear copulas and provide their characterization. Related results into the more general setting of conj…

math.PR2025★ 3 cited

Extreme values of the mass distribution associated with a tetravariate quasi-copula

Manuel Úbeda-Flores

In this note we study the extremes of the mass distribution associated with a tetravariate quasi-copula and compare our results with the bi- and trivariate cases, showing the impor…

math.ST2025

Best-possible bounds on the set of copulas with a given value of Gini's gamma

Manuel Úbeda-Flores

In this note, pointwise best-possible (lower and upper) bounds on the set of copulas with a given value of the Gini's gamma coefficient are established. It is shown that, unlike th…

math.ST2025

Modeling directional monotonicity with copulas

Enrique de Amo, David García-Fernández, José Juan Quesada-Molina +1

The purpose of this paper is to characterize the concept of monotonicity according to a direction related to a set of n random variables in terms of its associated n-copula C. We s…

math.ST2025★ 14 cited

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

Ana Pérez, Mercedes Prieto-Alaiz, Fernando Chamizo +2

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 Depe…