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Infinite divisibility of the spacings of a Kotz-Kozubowski-Podgórski generalized Laplace model - MaRDI portal

Infinite divisibility of the spacings of a Kotz-Kozubowski-Podgórski generalized Laplace model (Q951193)

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scientific article; zbMATH DE number 5358975
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English
Infinite divisibility of the spacings of a Kotz-Kozubowski-Podgórski generalized Laplace model
scientific article; zbMATH DE number 5358975

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    Infinite divisibility of the spacings of a Kotz-Kozubowski-Podgórski generalized Laplace model (English)
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    30 October 2008
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    The authors define a asymmetric Laplace distribution by its characteristic function \(\psi\): \[ \psi(t) = \frac{e^{i\theta t}}{1+\frac{1}{2}\sigma^{2}t^{2} - i\mu t}. \] They prove that the spacings of this distribution have distributions that are two-component mixtures of exponential distributions, and hence are infinitely divisible. These mixtures may be `generalized', i.e., one of the components may have a negative sign.
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    Laplace distribution
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    characteristic function
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    spacings
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    mixtures of exponential distributions
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