Abstract
The idea of the system signature is extended here to the case of ordered system lifetimes arising from a test of coherent systems with a signature. An expression is given for the computation of the ordered system signatures in terms of the usual system signature for system lifetimes. Some properties of the ordered system signatures are then established. Closed-form expressions for the ordered system signatures are obtained in some special cases, and some illustrative examples are presented.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 82-91 |
| Number of pages | 10 |
| Journal | Journal of Applied Probability |
| Volume | 51 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 2014 |
| Externally published | Yes |
Keywords
- Coherent system
- Order statistics
- System signature
ASJC Scopus subject areas
- Statistics and Probability
- General Mathematics
- Statistics, Probability and Uncertainty