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20242026
most citedClosed-form estimators for an exponential family derived from likelihood equations

1 citations · 1 across the 11 of their papers we have counts for

collaborators

24 papers

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.ME20261 cited

Closed-form estimators for an exponential family derived from likelihood equations

Roberto Vila, Eduardo Nakano, Helton Saulo

In this paper, we derive closed-form estimators for the parameters of some probability distributions belonging to the exponential family. A bootstrap bias-reduced version of these…

stat.ME2026

Unbiased estimation in new Gini index extensions under gamma distributions, with application to real income data

Roberto Vila, Helton Saulo

In this paper, we introduce two flexible extensions of the classical Gini index, referred to as the extended lower and upper Gini indices. The proposed measures are based on the di…

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.CO2026

Quantile autoregressive moving average models for ratio-based bounded time series

Helton Saulo, Roberto Vila, Filidor Vilca

This paper proposes the quantile unit-log-symmetric autoregressive moving average (QULS--ARMA) model for bounded time series on the open unit interval . The model extends th…