Recently I was thinking if there is a way to do the following: assuming I have some sampled points of distribution $\mathcal{X}$ and distribution $\mathcal Z$ (whose MGF I do not have in closed form) and I know that $\text{law}(\mathcal X)\cdot\text{law}(\mathcal Y) = \text{law}(\mathcal Z)$ can I obtain $\mathcal{Y}$? Are there any results/papers on this? We can also that the support of all $3$ RVs is in $\mathbb{R_{+}}$