Stability of decompositions of lattice infinitely divisible distributions of Linnik's class \({\mathfrak L}\) (Q749989)
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scientific article; zbMATH DE number 4174009
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of decompositions of lattice infinitely divisible distributions of Linnik's class \({\mathfrak L}\) |
scientific article; zbMATH DE number 4174009 |
Statements
Stability of decompositions of lattice infinitely divisible distributions of Linnik's class \({\mathfrak L}\) (English)
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1989
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The present paper deals with Linnik's class \({\mathfrak L}\) distributions which are special compound Poisson distributions. The author gives bounds for the quantity of stability of these measures in the sense of \textit{V. M. Zolotarev} [Teor. Veroyatn. Primen. 13, 738-742 (1968), Engl. transl. in Theor. Probab. Appl. 13 (1968), 679-700 (1969; Zbl 0176.491)]. These results continue earlier considerations of the author which were obtained for Poisson distributions.
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Linnik's class
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compound Poisson distributions
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stability
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0.9443346
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0.88795763
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0.86848503
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