Abstract
For two components and one standby redundancy, we develop a characterization on the hazard rate order and the reversed hazard rate order of the redundant system lifetime in the context of mutually independent components lifetimes. Also, the likelihood ratio order is derived on the lifetime of the series system with two components lifetimes and two matched active redundancies lifetimes both following the proportional hazard model.
| Original language | English |
|---|---|
| Pages (from-to) | 4690-4701 |
| Number of pages | 12 |
| Journal | Communications in Statistics - Theory and Methods |
| Volume | 48 |
| Issue number | 18 |
| DOIs | |
| State | Published - 17 Sep 2019 |
Keywords
- Hazard rate order
- Likelihood ratio order
- Proportional hazards
- Reversed hazard rate order
- Stochastic order
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