On joint Weibull probability density functions (Q812696)
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scientific article; zbMATH DE number 5001437
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On joint Weibull probability density functions |
scientific article; zbMATH DE number 5001437 |
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On joint Weibull probability density functions (English)
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24 January 2006
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The present article proves two results on joint Weibull probability density functions: (1) A formula for the product of \(n\) density functions is derived using representations based on \(n\)-variable Laplace transformations. (2) A random variable construction is devised for the joint probability function of Weibull distributions, in order to obtain a useful inequality, with applications in life testing problems, statistical quality control charts, reliability for assessing the importance of individual components of a system.
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product of Weibull distributions
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Laplace transformation
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multivariate distribution
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joint Weibull probability functions
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testing problems
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reliability
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