A comprehensive account of economic size distributions around the world and throughout
the years In the course of the past 100 years, economists and applied statisticians have …

The authors present an alternative representation of risk measures originally defined in
terms of expectations with respect to distorted probabilities. They also show that the right-tail …

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 …

Do income taxes levied at a state or regional level affect the after-tax distribution of income?
Or do workers merely move between regions, causing pre-tax wages to adjust? Using the …

$ L $-statistics play prominent roles in various research areas and applications, including
development of robust statistical methods, measuring economic inequality and insurance …

The asymptotic normality of the sample proportional hazard premium for heavy-tailed claim
amounts with infinite variance cannot be obtained by classical results for L-statistics. In this …

This article considers statistical inference for consistent estimators of generalized Gini
indices of inequality, poverty, and welfare. Our method does not require grouping the …

The adage “the rich are getting richer” refers to increasingly skewed and heavily-tailed
income distributions. For such distributions, the mean is not the best measure of the center …

Methods for comparing social welfare and inequality across populations typically involve the
entire distribution of economic wellbeing. Conditional analysis requires an estimate of the …

In various research areas related to decision making, problems and their solutions
frequently rely on certain functions being monotonic. In the case of non-monotonic functions …