In today's world of financial uncertainty, one major public concern is to assess (and possibly
improve) the stability of companies that take on risks. Actuaries have been aware of that …

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 study the dual risk process in ruin theory (see eg Cramér, H. 1955.
Collective Risk Theory: A Survey of the Theory from the Point of View of the Theory of …

In this paper we consider an extension of the Sparre Andersen insurance risk model by
relaxing one of its independence assumptions. The newly proposed dependence structure …

An efficient quadratically convergent algorithm has been derived earlier by Ahn and
Ramaswami for computing the busy period distribution of the canonical fluid flow model. In …

For applications of stochastic fluid models, such as those related to wildfire spread and
containment, one wants a fast method to compute time dependent probabilities …

We introduce a Stochastic Two-Dimensional Fluid Model that consists of two stochastic fluid
flows driven by the same underlying Markov chain, where one of the fluids is unconstrained …

The Compound Poisson Process (CPP) is one of the most basic and popular models in
applied probability. It can represent a workload arrival process, where customers (or …

In this paper, we consider an insurance risk model governed by a Markovian arrival claim
process and by phase-type distributed claim amounts, which also allows for claim sizes to …

In the context of a dividend barrier strategy (see, eg Lin, Willmot and Drekic (2003)) we
analyze the moments of the discounted dividend payments and the expected discounted …