Generalized continuous time random walks with independent, heavy-tailed random waiting times and long range dependent jumps are considered. Their scaling limits are determined in terms of the Hermite processes and inverse of stable subordinators. These limiting processes provide an interesting...

Consider dividend problems in the dual model with diffusion and exponentially distributed observation time where dividends are paid according to a barrier strategy. Assume that dividends can only be paid with a certain probability at each point of time, that is, on each observation, if the...