Ranking intersecting Lorenz curves

Robust Inequality Comparisons

Robust Inequality Comparisons This paper is concerned with the problem of ranking Lorenz curves in situations where the Lorenz curves intersect and no unambiguous ranking can be attained without introducing weaker ranking criteria than first-degree Lorenz dominance. To deal with such situations Aaberge (2009) introduced two alternative sequences of nested dominance criteria for Lorenz curves wh...

Ranking Income Distributions with Crossing Generalised Lorenz Curves

Robust Lorenz Curves: A Semi-Parametric Approach

Lorenz curves and second-order dominance criteria are known to be sensitive to data contamination in the right tail of the distribution. We propose two ways of dealing with the problem: (1) Estimate Lorenz curves using parametric models for income distributions, and (2) Combine empirical estimation with a parametric (robust) estimation of the upper tail of the distribution using the Pareto mode...

Parametric Lorenz Curves and its Relationship with Reliability Indicators

The problem of poverty can not be considered without paying care to the topic of income distribution. In fact, the concept of poverty refers to the lowest class in the distribution of income, and inequality in the income distribution is related to all stages of society. Based on the income distributions that are unfairly priced, many indices have been developed to measure the size of inequality...

Tsallis Maximum Entropy Lorenz Curves

In this paper, at first we derive a family of maximum Tsallis entropy distributions under optional side conditions on the mean income and the Gini index. Furthermore, corresponding with these distributions a family of Lorenz curves compatible with the optional side conditions is generated. Meanwhile, we show that our results reduce to Shannon entropy as $beta$ tends to one. Finally, by using ac...