A characterization of symmetric stable distributions (Q294892)
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scientific article; zbMATH DE number 6594163
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterization of symmetric stable distributions |
scientific article; zbMATH DE number 6594163 |
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A characterization of symmetric stable distributions (English)
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16 June 2016
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Summary: Characterization problems in probability are studied here. Using the characteristic function of an additive convolution we generalize some known characterizations of the normal distribution to stable distributions. More precisely, if a distribution of a linear form depends only on the sum of powers of the certain parameters, then we obtain symmetric stable distributions.
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additive convolution
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stable distribution
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