Abstract
In this paper, the multi-state survival signature is first redefined for multi-state coherent or mixed systems with independent and identically distributed (i.i.d.) multi-state components. With the assumption of independence of component lifetimes at different state levels, transformation formulas of multi-state survival signatures of different sizes are established through the use of equivalent systems and a generalized triangle rule for order statistics from several independent and non-identical distributions. The results obtained facilitate stochastic comparisons of multi-state coherent or mixed systems with different numbers of i.i.d. multi-state components. Specific examples are finally presented to illustrate the transformation formulas established here, and also their use in comparing systems of different sizes.
| Original language | English |
|---|---|
| Pages (from-to) | 801-817 |
| Number of pages | 17 |
| Journal | Probability in the Engineering and Informational Sciences |
| Volume | 37 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Jul 2023 |
| Externally published | Yes |
Keywords
- equivalent system
- generalized triangle rule
- multi-state survival signature
- multi-state system
- order statistics