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...

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 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...

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 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...

The objective of this paper is to suggest a visual method for identifying departures from normality of the innovations in times series models. The method is based on replacing the variance by the Gini as the measure of variability. The Gini methodology is a rank-based methodology, which takes...

The semi parametric Gini regression is more robust than ordinary least squares (OLS) regression when the underlying assumptions of the OLS fail and therefore has been used by many researchers. Several measures for goodness of fit of Gini regression were suggested in the literature. However, to...