Abstract
We develop sufficient conditions for the hazard rate order on minimums of sample with Archimedean survival copulas and having proportional hazard rates or scales, and the reversed hazard rate order on maximums of sample with Archimedean copulas and have proportional reversed hazard rates, respectively. Also, we present applications of the hazard rate order on sample minimums in engineering reliability and actuarial risk.
| Original language | English |
|---|---|
| Pages (from-to) | 104-111 |
| Number of pages | 8 |
| Journal | Statistics and Probability Letters |
| Volume | 146 |
| DOIs | |
| State | Published - Mar 2019 |
Keywords
- Archimedean copula
- Decreasing hazard rate
- Proportional hazard rates
- Scale model
- Weak supermajorization
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