On joint Weibull probability density functions
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.
scientific article; zbMATH DE number 5001437