Abstract The Gerber-Shiu function provides a unified framework for the evaluation of a
variety of risk quantities. Ever since its establishment, it has attracted constantly increasing …

The aim of the paper is to outline the new trends in modern actuarial sciences in order to
help the researchers to find new domains of activity and university professors teaching future …

In this paper we consider an extension of the two-dimensional risk model introduced in
Avram, Palmowski and Pistorius (2008a). To this end, we assume that there are two …

This monograph is a summary of our view of the current state of the art with respect to the
analysis of surplus and ruin-theoretic analysis for the class of Sparre Andersen (renewal) …

In this paper, we consider a Markov additive insurance risk process under a randomized
dividend strategy in the spirit of Albrecher et al.(2011). Decisions on whether to pay …

In this paper, we study the dual compound Poisson risk process, which is suitable for a
business that pays expenses at a constant rate over time and earns random amount of …

This paper considers a renewal insurance risk model with two-sided jumps (eg Labbé et al.,
2011), where downward and upward jumps typically represent claim amounts and random …

We consider a make-to-stock production/inventory model in a random environment with
finite storage capacity and restricted backlogging possibility. Our aim is to demonstrate that …

An insurance risk model where claims follow a Markovian arrival process (MArP) is
considered in this paper. It is shown that the expected present value of total operating costs …

The Markov additive process (MAP) has become an increasingly popular modeling tool in
the applied probability literature. In many applications, quantities of interest are represented …