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Mixed Periodic-classical barrier strategies for Lévy risk processes (1609.01671v2)
Published 6 Sep 2016 in math.PR
Abstract: Given a spectrally negative L\'evy process and independent Poisson observation times, we consider a periodic barrier strategy that pushes the process down to a certain level whenever it is above it. We also consider the versions with additional classical reflection above and/or below. Using scale functions and excursion theory, various fluctuation identities are computed in terms of the scale function. Applications in de Finetti's dividend problems are also discussed.