Asymptotic Expansions of the Ruin Probability for a Generalized Poisson Process

Let $\xi(t)$, $t\geqslant0,$ be a generalized Poisson process, and let $\tau(x)=\inf\{t:\xi(t)\geqslant x\}, x>0$. The complete asymptotic expansions of the distribution $\tau(x)$ are obtained for $x\to\infty$ under Cramér type condition.