From the 1 of 26 linked papers with an AI index.
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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 (NPRIs) generated by homogeneous functions and encompassing several well-known measures, including the Gini coeffic…
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…
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…
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…
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…