Limit behavior of a critical branching process with immigration (Q1946421)

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scientific article; zbMATH DE number 6153792
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Limit behavior of a critical branching process with immigration
scientific article; zbMATH DE number 6153792

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    Limit behavior of a critical branching process with immigration (English)
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    15 April 2013
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    The paper deals with a generalization of Sevast'yanow branching process with immigration which is a Cox process. The author computes the generating function for the number of cells or particles, under mild condition on the process. Moreover, the limit behavior of the number of cells of the process is also computed for the critical process.
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    branching process
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    branching process with immigration
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    Cox process
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    Poisson process
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    Laplace transform
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