Representations of component importance for coherent systems with exchangeable components
| Autor: | S. Pitzen, Marco Burkschat |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Statistics and Probability
021103 operations research General Mathematics Association (object-oriented programming) Order statistic 0211 other engineering and technologies 02 engineering and technology Limiting 01 natural sciences Measure (mathematics) Signature (logic) 010104 statistics & probability Distribution function Component (UML) Statistical physics 0101 mathematics Statistics Probability and Uncertainty Mathematics |
| Zdroj: | Journal of Applied Probability. 57:385-406 |
| ISSN: | 1475-6072 0021-9002 |
| DOI: | 10.1017/jpr.2020.2 |
| Popis: | Two definitions of Birnbaum’s importance measure for coherent systems are studied in the case of exchangeable components. Representations of these measures in terms of distribution functions of the ordered component lifetimes are given. As an example, coherent systems with failure-dependent component lifetimes based on the notion of sequential order statistics are considered. Furthermore, it is shown that the two measures are ordered in the case of associated component lifetimes. Finally, the limiting behavior of the measures with respect to time is examined. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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