Shahrokhabadi, Mahdieh Aminian; Melnikov, Alexander; … - In: Risks : open access journal 13 (2025) 4, pp. 1-27
This paper aims to develop optional semimartingale methods in risk theory to allow for a larger class of risk models … usual conditions - completeness and right-continuity of the filtration - are not assumed. Three risk models are formulated … oscillations or jumps, and the third introduces a Gaussian risk model using counting processes to capture premium and claim cash …