In this paper we consider Lévy processes without negative jumps, reflected at the origin. Feedback information about the level of the Lévy process ('workload level') may lead to adaptation of the Lévy ...

We consider the optimal prediction problem of stopping a spectrally negative Lévy process as close as possible to a given distance b ≥ 0 from its ultimate supremum ...

Ruin probability quantifies the risk that an insurer or financial institution’s liabilities may exceed its assets, ultimately leading to insolvency. Recent advancements in risk management have ...

Stochastic differential equations (SDEs) provide a foundational framework for modelling systems subject to randomness, incorporating both continuous fluctuations and abrupt changes. In recent decades ...