9 citations · 24 across the 54 of their papers we have counts for
56 papers
Exact finite-sample bias, variance, and MSE of normalized scale-invariant inequality indices under Gamma mixture models
Roberto Vila, Felipe Quintino
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…
Characterizations of independence between order statistics and rank indicators
Roberto Vila, Frederico Almeida
We study the independence between an order statistic and its corresponding rank indicator for independent nonnegative random variables. A general characterization is established th…
Conditional copula representations and extremal bounds for multivariate statistical functionals
Roberto Vila, Cira E G Otiniano, Carolyne Brito +1
In this paper, we derive a conditional copula representation for expectations of the form , where is a random vector with arbitrary…
Income inequality estimation with gamma mixtures
Roberto Vila, Helton Saulo, Felipe Quintino
This paper studies the estimation of the th Gini index under finite mixtures of gamma distributions. We derive closed-form expressions for the th Gini index and for the expec…
Unbiased estimation of normalized scale-invariant indices under the Gamma distribution
Roberto Vila, Helton Saulo, Felipe Quintino
We introduce a broad class of normalized scale-invariant indices (NSIIs) generated by measurable symmetric homogeneous functions and encompassing several well-known measures, inclu…
Length-biased Birnbaum-Saunders quantile regression with application to water evaporation
Helton Saulo, Tailine Nonato, Roberto Vila
Length-biased distributions arise naturally in environmental, reliability, and economic studies where the sampling mechanism favors larger observational units. In this paper, we pr…