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Stability bounds of decompositions of infinitely divisible distribution functions with Gaussian component of Linnik's class \(\mathfrak L\). - MaRDI portal

Stability bounds of decompositions of infinitely divisible distribution functions with Gaussian component of Linnik's class \(\mathfrak L\). (Q1175858)

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scientific article; zbMATH DE number 14778
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English
Stability bounds of decompositions of infinitely divisible distribution functions with Gaussian component of Linnik's class \(\mathfrak L\).
scientific article; zbMATH DE number 14778

    Statements

    Stability bounds of decompositions of infinitely divisible distribution functions with Gaussian component of Linnik's class \(\mathfrak L\). (English)
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    25 June 1992
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    A special class of infinitely divisible distribution functions has been characterized by Linnik in terms of the associated Lévy measure. Based on a condition on the rate of decrease of the tails of this measure the author obtains upper and lower bounds on a quantity that relates to the stability of this characterization.
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    infinitely divisible distribution
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    Lévy measure
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    stability
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