Stochastic Ordering under Weaker Likelihood-Ratio Shape Conditions
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866917484914802688 |
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| author | Derbazi, Z. |
| author_facet | Derbazi, Z. |
| contents | We show that the shape hypothesis on a likelihood ratio can be weakened while retaining endpoint criteria for the hazard-rate and usual stochastic orders. The endpoint reduction persists under unimodality of the likelihood ratio and under a sign-pattern condition on the likelihood ratio minus one, with at most two sign changes and a negative right tail. It also follows from a direct superlevel-set criterion involving the same expression, which is useful in particular for discontinuous likelihood ratios. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_11973 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Stochastic Ordering under Weaker Likelihood-Ratio Shape Conditions Derbazi, Z. Statistics Theory Probability 60E15 (primary), 60E05 (secondary) We show that the shape hypothesis on a likelihood ratio can be weakened while retaining endpoint criteria for the hazard-rate and usual stochastic orders. The endpoint reduction persists under unimodality of the likelihood ratio and under a sign-pattern condition on the likelihood ratio minus one, with at most two sign changes and a negative right tail. It also follows from a direct superlevel-set criterion involving the same expression, which is useful in particular for discontinuous likelihood ratios. |
| title | Stochastic Ordering under Weaker Likelihood-Ratio Shape Conditions |
| topic | Statistics Theory Probability 60E15 (primary), 60E05 (secondary) |
| url | https://arxiv.org/abs/2605.11973 |