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...

Aphorisms that "Rising tides raise all boats" or that material advances of the rich eventually "Trickle Down" to the poor are really maxims regarding the nature of stochastic processes that underlay the income/wellbeing paths of groups of individuals. This paper looks at the implications for the...

The burgeoning use of ordinal data throughout the Empirical Sciences calls for location and variation measurement instruments suitable for such data environments. Neither Pearson’s Coefficient of Variation nor the Sharpe Ratio, relative variation comparison workhorses in cardinal worlds, are...

This paper develops methodology for nonparametric estimation of a polarization measure due to Anderson (2004) and Anderson, Ge, and Leo (2006) based on kernel estimation techniques. We give the asymptotic distribution theory of our estimator, which in some cases is nonstandard due to a boundary...