4 problems

Let $X$ be a positive random variable with a generalized gamma convolution law, and let $r>1$. A power transformation of order $r$ is the random variable $X^r$. Bond's power-transf…

Let $f_L(s,t)$ be the function associated with the subordinator in the paper, and suppose that assumption (A4) requires that, for every $0<a\leq b$, there exist a function $h$ and…

Positive-increase conditions conjecture. General conditions on the Lévy–Khintchine exponent $\Psi$ that yield positive increase for the Lévy measure $\mu_+$ of $\phi_+$ may be impo…

Let $\eta$ be a subordinator and let $\tau$ be an exponentially distributed random variable, independent of $\eta$. Consider the random variable $\eta_\tau$ and its generalized gam…