Chotikapanich and Griffiths (2002) introduced the Dirichlet distribution to the estimation of Lorenz curves. This distribution naturally accommodates the proportional nature of income share data and the dependence structure between the shares. Chotikapanich and Griffiths (2002) fit a family of...

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...

Gini index is a widely used measure of economic inequality. This article develops a theory and methodology for constructing a confidence interval for Gini index with a specified confidence coefficient and a specified width without assuming any specific distribution of the data. Fixed sample size...

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...

We study the problems related to the estimation of the Gini index in presence of a fat-tailed data generating process, i.e. one in the stable distribution class with finite mean but infinite variance (i.e. with tail index α ∈ (1, 2)). We show that, in such a case, the Gini coefficient cannot...

We propose a first order bias correction term for the Gini index to reduce the bias due to grouping. The first order correction term is obtained from studying the estimator of the Gini index within a measurement error framework. In addition, it reveals an intuitive formula for the remaining...

The inequality dataset compiled in the 1990s by the World Bank and extendedby the UN has been both widely used and strongly criticized. The criticisms raisequestions about conclusions drawn from secondary inequality datasets in general. Wedevelop techniques to deal with national and...

In the present paper we consider the Coefficient of Gini (Kendall and Stuart, 1982), for income distribution. This statistic is derived from data showing the annual taxes paid by the Greek taxpayers, for years 1960 to 1996. An intractable issue is the estimation of its variance because of the...

This paper uses Colombian household survey data collected over the period 1984-2005 to estimate Gini coeficients along with their corresponding standard errors. We find a statistically signicant increase in wage income inequality following the adoption of the liberalisation measures of the early...