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20182026
most citedOn some properties of the bimodal normal distribution and its bivariate version

5 citations · 8 across the 29 of their papers we have counts for

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42 papers · 1 filter

stat.ME2026

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…

stat.ME2026

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 (NPRIs) generated by homogeneous functions and encompassing several well-known measures, including the Gini coeffic…

stat.ME2026

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…

stat.ME2026

A multivariate Birnbaum-Saunders autoregressive moving average model with application to air pollution concentration data

Helton Saulo

Fine particulate matter (PM) concentration data are positive, right-skewed series that arise naturally in environmental monitoring and are well described by the Birnbaum-Sa…

stat.ME2026

The arithmetic-harmonic inequality index: Theory, inference, and finite-sample analysis

Roberto Vila, Helton Saulo

We investigate the arithmetic-harmonic inequality (AHI) index, a bounded and scale-invariant measure of dispersion for positive random variables, defined through the interplay betw…

stat.ME2026

Unifying the Hoover and Gini indices: Analytical, bias, and computational aspects

Roberto Vila, Helton Saulo, Felipe Quintino

We propose a new family of inequality indices that bridges the Hoover index and the Gini coefficient. The measure is defined as the normalized expected absolute value of a convex c…