Abstract
System components usually attain marginal lifetimes with stochastic dependence in the context of load-sharing reliability structures. This study deals with the load-sharing parallel systems of two components. We prove that two marginal lifetimes are positively quadrant dependent when component lifetimes have continuous probability distributions, and such a stochastic dependence is upgraded to the total positive of order 2 in the setting of component lifetimes having an exponential distribution. In addition, we discuss how these findings shed light on related results for the load-sharing Ross model, the conditional residual lifetime, and the conditional inactivity time.
| Original language | English |
|---|---|
| Pages (from-to) | 1-15 |
| Number of pages | 15 |
| Journal | Probability in the Engineering and Informational Sciences |
| DOIs | |
| State | Accepted/In press - 2026 |
Keywords
- decelerating factor
- increasing failure rate
- positive quadrant dependent
- stochastically increasing
- totally positivity of order 2
- virtual age
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