Abstract
This paper investigates sufficient conditions for preservation property of the increasing convex order and the increasing concave order under the taking of maximum and minimum of statistically dependent random variables, respectively. As applications, we develop the preservation of NBUC and NBU(2) aging properties respectively under the parallel and series systems of components with statistically dependent lifetimes. Some copulas are presented as illustrations on statistical dependence structure satisfying the sufficient condition as well.
Original language | English |
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Pages (from-to) | 445-464 |
Number of pages | 20 |
Journal | Metrika |
Volume | 81 |
Issue number | 4 |
DOIs | |
State | Published - 1 May 2018 |
Keywords
- Copula
- Increasing concave order
- Increasing convex order
- NBU(2)
- NBUC
- Parallel systems
- Series systems