One-sided concentration near the mean of log-concave distributions
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866915780332879872 |
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| author | Pinelis, Iosif |
| author_facet | Pinelis, Iosif |
| contents | A lower bound on the probability $P(0<X<δ)$ for all real $δ>0$ and all random variables $X$ with log-concave p.d.f.'s such that $EX=0$ and $EX^2=1$ is obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_06804 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | One-sided concentration near the mean of log-concave distributions Pinelis, Iosif Probability 60E15, 26D10, 26D15, 26A51 A lower bound on the probability $P(0<X<δ)$ for all real $δ>0$ and all random variables $X$ with log-concave p.d.f.'s such that $EX=0$ and $EX^2=1$ is obtained. |
| title | One-sided concentration near the mean of log-concave distributions |
| topic | Probability 60E15, 26D10, 26D15, 26A51 |
| url | https://arxiv.org/abs/2602.06804 |