Author

R. Vila

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Preprint Oct 2026

Exact finite-sample bias, variance, and MSE of normalized scale-invariant inequality indices under Gamma mixture models

We study the finite-sample properties of estimators of a broad class of normalized scale-invariant inequality indices (NSIIs) under finite Gamma mixture models. The class includes the Gini coefficient, the $m$th Gini index, the Extended $m$th Gini index, linear order-statistic inequality indices, and several entropy- a...

R. Vila, F. Quintino · 0 citations

Preprint Jul 2026

Conditional copula representations and extremal bounds for multivariate statistical functionals

In this paper, we derive a conditional copula representation for expectations of the form $\mathbb{E}[g(\boldsymbol{X})]$, where $\boldsymbol{X}$ is a random vector with arbitrary marginal distributions and $g$ is a measurable function satisfying suitable integrability conditions. The proposed representation explicitly...

R. Vila, C. Otiniano, Carolyne Brito et al. · 0 citations