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As is well-known, the benefit of restricting Lévy processes without positive jumps is the “ W,Z scale functions paradigm”, by which the knowledge of the scale functions W,Z extends immediately to other risk control problems. The same is true largely for strong Markov processes X t , with...
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Optimal dividend payment under a ruin constraint is a two objective control problem which-in simple models-can be … levels and a closed formula for the corresponding dividend value. Using the running allowed ruin probabilities, a simple test ….2.2, also yields optimal dividend strategies which differ from those in all other methods, and Lagrange gaps are present here. …
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–Shiu function for a compound binomial risk model in the presence of delayed claims and a randomized dividend strategy with a zero … function, which entails a number of important quantities in ruin theory, within the framework of the compound binomial …
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