We document two novel stylized facts on European integration and cohesion. First, we show that the interregional income distribution, measured as GDP per capita at the NUTS-3 level, is bimodal for all considered years. Second, we demonstrate that this mixture of two log-normal distributions...

The main theme of this paper is to study statistical inference concerning empirical Lorenz curves and its generalisations. These curves are useful devices for examining welfare and inequality. Asymptotical sampling properties of the Lorenz curve are discussed. An improvement to a standard...

This paper develops methodology for nonparametric estimation of a measure of the overlap of two distributions based on kernel estimation techniques. This quantity has been proposed as a measure of economic polarization between two groups, Anderson (2004) and Anderson et al. (2010). In ecology...

The last 20 years have seen a significant evolution in the literature on horizontal inequity (HI) and have generated two major and "rival" methodological strands, namely, classical HI and reranking. We propose in this paper a class of ethically flexible tools that integrate these two strands....

The last 20 years have seen a significant evolution in the literature on horizontal inequity (HI) and have led to two major and "rival" methodological strands, namely, classical HI and reranking. We propose in this paper a class of ethically flexible tools that integrate these two strands. This...

We derive the asymptotic sampling distribution of various estimators frequently used to order distributions in terms of poverty, welfare and inequality. This includes estimators of most of the poverty indices currently in use, as well as estimators of the curves used to infer stochastic...

We document two novel stylized facts on European integration and cohesion. First, we show that the interregional income distribution, measured as GDP per capita at the NUTS-3 level, is bimodal for all considered years. Second, we demonstrate that this mixture of two log-normal distributions...

Applying a method suggested by Woodruff (1971), we derive the sampling variances of Generalized Entropy and Atkinson inequality indices when estimated from complex survey data. It turns out that this method also greatly simpli?es the calculations for the i.i.d. case when compared to previous...