Abstract
The joint signatures of binary-state and multi-state (semi-coherent or mixed) systems with i.i.d. (independent and identically distributed) binary-state components are considered in this work. For the comparison of pairs of binary-state systems of different sizes, transformation formulas of their joint signatures are derived by using the concept of equivalent systems and a generalized triangle rule for order statistics. Similarly, for facilitating the comparison of pairs of multi-state systems of different sizes, transformation formulas of their multi-state joint signatures are also derived. Some examples are finally presented to illustrate and to verify the theoretical results established here.
| Original language | English |
|---|---|
| Pages (from-to) | 1027-1054 |
| Number of pages | 28 |
| Journal | Probability in the Engineering and Informational Sciences |
| Volume | 36 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1 Oct 2022 |
| Externally published | Yes |
Keywords
- Binary-state system
- Equivalent system
- Generalized triangle rule
- Joint signature
- Multi-state system
- Order statistics