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On the first passage times of reflected O-U processes with two-sided barriers - MaRDI portal

On the first passage times of reflected O-U processes with two-sided barriers (Q855182)

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scientific article; zbMATH DE number 5081653
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On the first passage times of reflected O-U processes with two-sided barriers
scientific article; zbMATH DE number 5081653

    Statements

    On the first passage times of reflected O-U processes with two-sided barriers (English)
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    4 January 2007
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    The Laplace transform of the first passage times of reflected Ornstein-Uhlenbeck processes with two-sided barriers is given. The results are derived by means of solving the related boundary value problem for the differential infinitesimal operator of the strong Markov Ornstein-Uhlenbeck process and by applying the normal-reflection conditions at the reflecting barriers.
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    Ornstein-Uhlenbeck process
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    two-sided reflected process
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    first passage time
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    boundary value problem
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    normal reflection
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