  A Lorenz hull is the convex hull of the range of an $n$-dimensional vector of
finite signed measures defined on a common measurable space. We show that the
set of $n$-dimensional Lorenz hulls is endowed with a natural product that is
commutative, associative, and distributive over Minkowski sums. The same holds
with "zonoid" in place of "Lorenz hull" as the two concepts give rise to the
same set of subsets of $\mathbb{R}^n$. The product is defined via the common
notion of a product measure.
