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From the 1 of 26 linked papers with an AI index.

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

1 citations · 1 across the 10 of their papers we have counts for

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26 papers

math.ST2026

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…

math.ST2026

Conditional copula representations and extremal bounds for multivariate statistical functionals

Roberto Vila, Cira E G Otiniano, Carolyne Brito +1

The paper introduces a conditional copula representation that separates marginal distributions from dependence structures for multivariate expectations, and derives extremal bounds…

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

Modeling double bounded data based on correlated gamma random variables

Roberto Vila, Felipe Quintino, Marcelo Bourguignon

Many types of bounded data defined on the unit interval arise naturally as ratios of the form . In the existing literature, the main statistical models proposed for this…