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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/2604.10395 |
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| _version_ | 1866918458619330560 |
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| author | Okamura, Kazuki |
| author_facet | Okamura, Kazuki |
| contents | We disprove a conjecture stated in a recent paper by Arnold and Villasenor concerning the sum and the maximum of independent and identically distributed half-normal random variables. Our method is applicable to generalized gamma distributions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_10395 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A remark on the comparison of the sum and the maximum of positive random variables Okamura, Kazuki Probability Statistics Theory 60E05, 62E10 We disprove a conjecture stated in a recent paper by Arnold and Villasenor concerning the sum and the maximum of independent and identically distributed half-normal random variables. Our method is applicable to generalized gamma distributions. |
| title | A remark on the comparison of the sum and the maximum of positive random variables |
| topic | Probability Statistics Theory 60E05, 62E10 |
| url | https://arxiv.org/abs/2604.10395 |