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Integration by parts for Poisson processes - MaRDI portal

Integration by parts for Poisson processes (Q1209876)

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scientific article; zbMATH DE number 168710
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Integration by parts for Poisson processes
scientific article; zbMATH DE number 168710

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    Integration by parts for Poisson processes (English)
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    16 May 1993
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    An integration by parts formula is proved for functionals of a standard Poisson process; it is obtained by means of perturbations on the intensity rate of the Poisson process and by applying a Girsanov formula. This also enables the computation of the integrand in the integral representation of martingales for the Poisson process filtration.
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    integration by parts
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    integral representation of martingales
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    Poisson process
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