Title
Key distributions in the preservation of aging classes under the construction of systems
Authors
[ 1 ] Instytut Automatyki i Robotyki, Wydział Automatyki, Robotyki i Elektrotechniki, Politechnika Poznańska | [ P ] employee
Scientific discipline (Law 2.0)
[2.2] Automation, electronics, electrical engineering and space technologies
Year of publication
2025
Published in
Article type
scientific article
Publication language
english
Keywords
EN
- Reliability theory
- Aging classes
- Distortion function
- Survival copula
- Semi-coherent and mixed systems
Abstract
EN We show that some distributions play a crucial role in the aging classes closure under the creation of semi-coherent (or mixed) systems with identically distributed component lifetimes. In this way, if the class is inherited for that key distributions, then so is for the remaining distributions included this class. In the most important aging classes, the key distribution is the exponential one, which plays a central role in this context since it represents units without aging (with the lack of memory property). In other classes the key distributions are the uniform and Pareto models. These distributions lead to mathematical properties that may be useful to decide if an aging class is inherited by a specific system. We consider both the cases of systems with independent and dependent components.
Pages (from - to)
116650-1 - 116650-15
Ministry points / journal
100
Impact Factor
2,1 [List 2023]
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