Article
| Title: | Failure extropy properties of mixed system with application (English) |
| Author: | Pandey, Aman |
| Author: | Kundu, Chanchal |
| Language: | English |
| Journal: | Applications of Mathematics |
| ISSN: | 0862-7940 (print) |
| ISSN: | 1572-9109 (online) |
| Volume: | 71 |
| Issue: | 1 |
| Year: | 2026 |
| Pages: | 89-105 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | Recent research has shown growing interest in quantifying uncertainty in system lifetimes. This paper investigates the failure extropy (FEx) of an $n$-component mixed system, conditioned on the failure of all components by a given time $t$. Using the concept of system signature, explicit expressions for the FEx of the system lifetime are derived, along with key properties and informative bounds. To extend this framework, a divergence measure based on FEx is proposed to assess the complexity of system structures. A new discrimination measure is also proposed, serving as a valuable tool to assess how closely a system resembles a parallel system. An application to redundancy allocation has been carried out to demonstrate the practical relevance of the proposed results and provide insights into optimal system design under uncertainty. (English) |
| Keyword: | failure extropy |
| Keyword: | Jensen divergence |
| Keyword: | mixed system |
| Keyword: | redundancy |
| Keyword: | stochastic orders |
| Keyword: | system signature |
| MSC: | 62B10 |
| MSC: | 62G30 |
| MSC: | 62N05 |
| idZBL: | Zbl 08162247 |
| idMR: | MR5029290 |
| DOI: | 10.21136/AM.2026.0203-25 |
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| Date available: | 2026-02-02T11:45:08Z |
| Last updated: | 2026-03-02 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153335 |
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