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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.19871 |
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| _version_ | 1866917539971334144 |
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| author | Zhang, Jiechen |
| author_facet | Zhang, Jiechen |
| contents | This note records a common threshold/surplus decomposition for single-threshold stopping rules in the classical prophet inequality. The same decomposition is used to certify several deterministic thresholds, including the median, half-mean, and balanced-surplus thresholds, and to give an averaged certificate for randomized thresholds distributed as the maximum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_19871 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Threshold Rules for the Classical Prophet Inequality Zhang, Jiechen Probability Data Structures and Algorithms This note records a common threshold/surplus decomposition for single-threshold stopping rules in the classical prophet inequality. The same decomposition is used to certify several deterministic thresholds, including the median, half-mean, and balanced-surplus thresholds, and to give an averaged certificate for randomized thresholds distributed as the maximum. |
| title | Threshold Rules for the Classical Prophet Inequality |
| topic | Probability Data Structures and Algorithms |
| url | https://arxiv.org/abs/2605.19871 |