In this paper we consider a Markov-modulated dual risk reserve process with a multi-threshold dividend strategy. We study the risk reserve process that can start at any level of the threshold. An integral equation for the conditional non-ruin probability is obtained. Further in two states, we...

Purpose – The purpose of this paper is to investigate how queueing theory has been applied to derive results for a Sparre Andersen risk process for which the claim inter-arrival distribution is hyper Erlang. Design/methodology/approach – The paper exploits the duality results between the...

Purpose – The purpose of this paper is to investigate how queueing theory has been applied to derive results for a Sparre Andersen risk process for which the claim inter-arrival distribution is hyper Erlang. Design/methodology/approach – The paper exploits the duality results between the...

Purpose – The purpose of this paper is to investigate how queueing theory has been applied to derive results for a Sparre Andersen risk process for which the claim inter‐arrival distribution is hyper Erlang. Design/methodology/approach – The paper exploits the duality results between the...