Symmetric sum and symmetric product of two independent random variables (Q1118897)
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scientific article; zbMATH DE number 4096479
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symmetric sum and symmetric product of two independent random variables |
scientific article; zbMATH DE number 4096479 |
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Symmetric sum and symmetric product of two independent random variables (English)
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1989
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Let X and Y be independent r.v.'s. Then it can happen that X, \(X+Y\) are symmetric while Y is not symmetric. If at least one of X and Y is symmetric then XY is also symmetric. On the other hand, XY can be symmetric even if none of X and Y is symmetric. Other related observations are also discussed.
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symmetric random variables
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Pólya type characteristic function
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0.9291909
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0.9291909
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0.90475255
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0.8747822
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