The purpose of this paper is two-fold. First, we develop the measurement theory of polarization for the case in which asset distributions can be described using density functions. Second, we provide sample estimators of population polarization indices that can be used to compare polarization...

We introduce an extension of the Esteban and Ray [Econometrica, 1994] measure of polarization that can be applied to density functions. As a by-product we also derive the Wolfson [AER, 1994] measure as a special case. This derivation has the virtue of casting both measures in the context of a...