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A note on a generalized discounted penalty function in a Sparre Andersen risk model perturbed by diffusion - MaRDI portal

A note on a generalized discounted penalty function in a Sparre Andersen risk model perturbed by diffusion (Q2319082)

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A note on a generalized discounted penalty function in a Sparre Andersen risk model perturbed by diffusion
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    A note on a generalized discounted penalty function in a Sparre Andersen risk model perturbed by diffusion (English)
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    16 August 2019
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    Summary: We consider a Sparre Andersen risk model perturbed by diffusion where the interclaim times are generalized \(\operatorname{Erlang}(n)\) distribution. Generalized discounted penalty functions incorporating the maximum surplus before ruin are studied. We derive the integrodifferential equations and give the solutions for the generalized discounted penalty functions.
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    Sparre Andersen risk model
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    discounted penalty function
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    diffusional perturbation
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    integrodifferential equations
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