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LAPLACE TRANSFORMS OF SOME USUAL DISTRIBUTION FUNCTIONS IN PROBABILITY THEORY
Keywords:
Laplace transform, reliability, probability density functionDOI:
https://doi.org/10.17654/0972086325020Abstract
In this paper, we compute various Laplace transforms of probability distributions using some main properties of the Laplace transform. The results presented are formulated explicitly or in terms of well-established special functions. As an application, we provide a description of the asymptotic availability of a system in the framework of reliability.
Received: July 25, 2025;
Revised: August 22, 2025
Accepted: September 29, 2025
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