Stable Densities Under Change of Scale and Total Variation Inequalities
Stable Densities Under Change of Scale and Total Variation Inequalities
In this paper it is shown that if $q$ is the density of a symmetric stable density, then for $c \in (0, 1) \cup (1, \infty)$, the graph of $q(x)$ intersects the graph of $cq(cx)$ at only two points. The argument proceeds by introducing a new characterization of unimodality for …