Abstract
It is shown, in this note, that the right spread order and the increasing convex order are both preserved under the taking of random maxima, and the total time on test transform order and the increasing concave order are preserved under the taking of random minima. Some inequalities and preservation properties in reliability and economics are given as applications.
| Original language | English |
|---|---|
| Pages (from-to) | 332-344 |
| Number of pages | 13 |
| Journal | Naval Research Logistics |
| Volume | 51 |
| Issue number | 3 |
| DOIs | |
| State | Published - Apr 2004 |
Keywords
- Aging properties
- Increasing concave order
- Increasing convex order
- Lorenz order
- Parallel system
- Right spread order
- Series system
- Total time on test transform order