2 problems

Let $\gamma_t$ and $\gamma_s$ be independent gamma random variables with parameters $t,s>0$. The gamma-product conjecture. For all $s,t>0$, the independent product…

Let $Z_\alpha$ be a positive $\alpha$-stable random variable for $\alpha\in(0,1)$. The power-transformation conjecture. The density of $Z_\alpha^\beta$ is $\operatorname{HCM}$ if a…