Dependence of the density of states on the probability distribution -- part II: Schr\"odinger operators on ${\mathbb{R}}^d$ and non-compactly supported probability measures

We extend our results in \cite{hislop_marx_1} on the quantitative continuity properties, with respect to the single-site probability measure, of the density of states measure and the integrated density of states for random Schr"odinger operators. For lattice models on ${\mathbb{Z}}^d$, with $d\ge 1$, we treat the case of non-compactly supported probability measures with finite first moments. For random Schr"odinger operators on ${\mathbb{R}}^d$, with $d\ge 1$, we prove results analogous to those in \cite{hislop_marx_1} for compactly supported probability measures. The method of proof makes use of the Combes-Thomas estimate and the Helffer-Sj"ostrand formula.