This paper introduces a new R package, LRMoE, a statistical software tailor-made for actuarial applications which allows actuarial researchers and practitioners to model and analyze insurance loss frequencies and severities using the Logit-weighted Reduced Mixture-of-Experts (LRMoE) model. LRMoE...

In this paper, we generalize the Cramer-Lundberg risk model perturbed by diffusion to incorporate jumps due to the surplus investment return and to relax the positive loading condition. Assuming that the surplus process has exponential upward and arbitrary downward jumps, we analyze the expected...