Transformations of Poisson streams and their application to communication systems (Q1822421)

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scientific article; zbMATH DE number 4003219
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Transformations of Poisson streams and their application to communication systems
scientific article; zbMATH DE number 4003219

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    Transformations of Poisson streams and their application to communication systems (English)
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    1986
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    Some correlation properties of the Doob transformations of a Poisson flow are presented. The \(j\)-th transformation of the coordinate of the \(i\)-th point, \(x_ i(j)\), is given by \(x_ i(j)=x_ i(j-1)+S_{ij}\), \(j\geq 1\), where \(S_{ij}\) are independent positive random variables exponentially distributed with parameter \(\mu_ j\).
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    communication systems
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    Doob transformations of a Poisson flow
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