The innovation of generic technology for the development of the manufacturing sector has an important basic role, and for the generic technology research and development, there is lack of effective attention. Especially in manufacturing industry, the development of generic technology still can't...

In this paper we consider a multi-threshold compound Poisson risk model. A piecewise integro-differential equation is derived for the Gerber-Shiu discounted penalty function. We then provide a recursive approach to obtain general solutions to the integro-differential equation and its...

We consider a ruin model where the surplus process of an insurance company is constructed so that part of the current surplus is kept available at all times and the remaining part is invested. The former portion of the capital is called “liquid reserves.” In this paper, we study the expected...

In this paper, we study the Sparre-Andersen dual risk model in which the times between positive gains are independently and identically distributed and have a generalized Erlang-n distribution. An important difference between this model and some other models such as the Erlang-n dual risk model...

We consider a multi-layer compound Poisson surplus process perturbed by diffusion and examine the behaviour of the Gerber-Shiu discounted penalty function. We derive the general solution to a certain second order integro-differential equation. This permits us to provide explicit expressions for...