Characterization of a Marshall-Olkin type class of distributions (Q578800)
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scientific article; zbMATH DE number 4013772
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterization of a Marshall-Olkin type class of distributions |
scientific article; zbMATH DE number 4013772 |
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Characterization of a Marshall-Olkin type class of distributions (English)
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1987
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A class of bivariate distributions that generalize Marshall-Olkin's one is characterized through a functional equation which involves two associative operations. The obtained distributions concentrate positive mass on the line \(x=y\) when the two associative operations coincide; otherwise a positive mass is concentrated on a continuous monotone function.
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characterization
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lack of memory property
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Marshall-Olkin distributions
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copula
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bivariate distributions
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functional equation
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associative operations
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