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Exit problems for jump processes having double-sided jumps with rational Laplace transforms - MaRDI portal

Exit problems for jump processes having double-sided jumps with rational Laplace transforms (Q1724885)

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scientific article; zbMATH DE number 7023009
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Exit problems for jump processes having double-sided jumps with rational Laplace transforms
scientific article; zbMATH DE number 7023009

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    Exit problems for jump processes having double-sided jumps with rational Laplace transforms (English)
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    14 February 2019
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    Summary: We consider the two-sided first-exit problem for a jump process having jumps with rational Laplace transform. We derive the joint distribution of the first passage time to two-sided barriers and the value of process at the first passage time. As applications, we present explicit expressions of the dividend formulae for barrier strategy and threshold strategy.
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