This paper shows that both OLS and Gini regression estimators can be interpreted as weighted averages of slopes of the regression curve, where the weights are derived from the Absolute Lorenz Curve of the independent variable. The instrumental variable estimators, under both approaches, can also...

The extended Gini is a family of measures of variability which is mainly used in the areas of finance and income distribution. Each index in the family is defined by specifying one parameter, which reflects the social evaluation of the marginal utility of income. The higher the parameter, the...

Two regressions can be interpreted as based on Gini's Mean Difference (GMD): a semiparametric approach, which relies on weighted average of slopes defined between adjacent observations and a minimization approach, which is based on minimization of the GMD of the residuals. The estimators...

A wildly discussed shortcoming of panel surveys is a potential bias arising from selective attrition. Based on data of the German Socio-Economic Panel Study (SOEP), the authors analyze potential artifacts (level, structure, income inequality) by comparing results for two independently drawn...

The basic approach to estimating the Gini and extended Gini indices is to approximate the Lorenz curve by a number of linear segments, and then estimate the Gini coefficients as the areas (or weighted areas) between the linear segments and the 45-degree line. We show that the estimator for the...

Two regression methods can be interpreted as based on Gini's Mean Difference (GMD). One, the semi-parametric approach, relies on a weighted average of slopes defined between adjacent observations and the other, the minimization approach, is based on minimization of the GMD of the errors. The...

This paper shows that both OLS and Gini regression estimators can be interpreted as weighted averages of slopes of the regression curve, where the weights are derived from the Absolute Lorenz Curve of the independent variable. The instrumental variable estimators, under both approaches, can also...