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A new approach to Poisson approximation of simple point processes using compensators - MaRDI portal

A new approach to Poisson approximation of simple point processes using compensators (Q867098)

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scientific article; zbMATH DE number 5126792
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A new approach to Poisson approximation of simple point processes using compensators
scientific article; zbMATH DE number 5126792

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    A new approach to Poisson approximation of simple point processes using compensators (English)
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    14 February 2007
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    Simple point processes with discontinuous compensators are considered. It is shown that the time-changed point process may be approximated by a homogeneous Poisson process. The total variation distance between the approximated process and the Poisson process is studied under the assumption that the jumps of the compensator are bounded by a constant smaller than one.
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    simple point process
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    compensator
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    Poisson process
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