3 papers
math.PR2025
Finite-Time Ruin for the Compound Markov Binomial Risk Model
Zbigniew Palmowski, Lewis Ramsden, Apostolos D. Papaioannou
In this paper, we study finite-time ruin probabilities for the compound Markov binomial risk model - a discrete-time model where claim sizes are modulated by a finite-state ergodic…
math.PR2025
Lévy processes under level-dependent Poissonian switching
Noah Beelders, Lewis Ramsden, Apostolos D. Papaioannou
In this paper, we derive identities for the upward and downward exit problems and resolvents for a process whose motion changes between two Lévy processes if it is above (or below)…
math.PR2017
Parisian ruin for the dual risk process in discrete-time
Zbigniew Palmowski, Lewis Ramsden, Apostolos D. Papaioannou
In this paper we consider the Parisian ruin probabilities for the dual risk model in a discrete-time setting. By exploiting the strong Markov property of the risk process we derive…