A comparative study of the Gini coefficient estimators based on the regression approach

S Mirzaei, GRM Borzadaran, M Amini… - Communications for …, 2017 - koreascience.kr
Resampling approaches were the first techniques employed to compute a variance for the
Gini coefficient; however, many authors have shown that an analysis of the Gini coefficient …

[PDF][PDF] A comparative study of the Gini coefficient estimators based on the linearization and U-statistics methods

S Mirzaei, GRM Borzadaran, M Amini - Revista Colombiana de …, 2017 - redalyc.org
In this paper, we consider two well-known methods for analysis of the Gini index, which are
U-statistics and linearization for some income distributions. In addition, we evaluate two …

Calculating a standard error for the Gini coefficient: some further results

DEA Giles - Oxford Bulletin of Economics and Statistics, 2004 - Wiley Online Library
Several authors have suggested using the jackknife technique to approximate a standard
error for the Gini coefficient. It has also been shown that the Gini measure can be obtained …

Calculating jackknife variance estimators for parameters of the Gini method

S Yitzhaki - Journal of Business & Economic Statistics, 1991 - Taylor & Francis
This article calculates jackknife variance estimators for parameters of the Gini method. For
nonstratified samples, the calculation of the jackknife variance estimators requires only two …

[HTML][HTML] Gini regressions and Heteroskedasticity

A Charpentier, N Ka, S Mussard, OH Ndiaye - Econometrics, 2019 - mdpi.com
We propose an Aitken estimator for Gini regression. The suggested A-Gini estimator is
proven to be a U-statistics. Monte Carlo simulations are provided to deal with …

A new computational approach for estimation of the Gini index based on grouped data

T Miljkovic, YJ Chen - Computational Statistics, 2021 - Springer
Many government agencies still rely on the grouped data as the main source of information
for calculation of the Gini index. Previous research showed that the Gini index based on the …

A note on the asymptotic equivalence of jackknife and linearization variance estimation for the Gini coefficient

YG Berger - 2008 - eprints.soton.ac.uk
The Gini coefficient has proved valuable as a measure of income inequality. In cross-
sectional studies of the Gini coefficient, information about the accuracy of its estimate is …

Gini index estimation in randomized response surveys

L Barabesi, G Diana, PF Perri - AStA Advances in Statistical Analysis, 2015 - Springer
In this paper, we address the problem of estimating the Gini index when data are assumed
to be collected through the randomized response method proposed by Greenberg et al.(J …

Variance estimation of the Gini index: revisiting a result several times published

M Langel, Y Tillé - Journal of the Royal Statistical Society Series …, 2013 - academic.oup.com
Summary Since Corrado Gini suggested the index that bears his name as a way of
measuring inequality, the computation of variance of the Gini index has been subject to …

A simple correction to remove the bias of the Gini coefficient due to grouping

T Van Ourti, P Clarke - Review of Economics and Statistics, 2011 - direct.mit.edu
We propose a first-order bias correction term for the Gini index to reduce the bias due to
grouping. It depends on only the number of individuals in each group and is derived from a …