Atkinson (1987) proposed stochastic dominance criteria for analysing poverty which, under certain conditions, establish orderings of states for any poverty line and any poverty measure within given class, refocusing debate on the nature of the income distribution of the poor. Employing new...

A class of tests for first, second, and third order stochastic dominance, together with modifications to the Pearson goodness of fit test are proposed for the nonparametric comparison of income distributions. They are implemented and compared with tests for generalised Lorenz dominance (which is...

This paper develops a methodology for nonparametric estimation of a polarization measure due to Anderson Ge and Leo (2006) based on kernel estimation techniques. We give the asymptotic theory of our estimator, which in some cases is non standard due to boundary value problems. We also propose a...

The most popular general univariate polarization indices for discrete (Esteban and Ray 1994), and continuous (Duclos, Esteban and Ray 2004) variables are combined and extended to describe the extent of polarization between agents in a distribution defined over a collection of many discrete and...

The most popular general univariate polarization indexes for discrete and continuous variables are extended and combined to describe the extent of polarization between agents in a distribution defined over a collection of many discrete and continuous agent characteristics. A formula for the...

This note extends the Duclos Esteban Ray Polarization Measure to situations in which agents are characterized in many dimensions where the characteristics are both discrete and continuous. It provides a formula for its asymptotic variance and illustrates its use in an application to a sample of...