Moments of sums of exponentials, beyond CHS
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866912871651213312 |
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| author | Brazitikos, Silouanos Tang, Colin Tkocz, Tomasz |
| author_facet | Brazitikos, Silouanos Tang, Colin Tkocz, Tomasz |
| contents | We establish a sharp lower bound on the $L_p$-norm of sums of independent exponential random variables with fixed variance, for $p \geq 2$, thus extending Hunter's positivity theorem (1976) for completely homogeneous polynomials. We determine the exact regime of $p$ where such sums enjoy Schur-monotonicity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_03058 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Moments of sums of exponentials, beyond CHS Brazitikos, Silouanos Tang, Colin Tkocz, Tomasz Probability 60E15, 26D15 We establish a sharp lower bound on the $L_p$-norm of sums of independent exponential random variables with fixed variance, for $p \geq 2$, thus extending Hunter's positivity theorem (1976) for completely homogeneous polynomials. We determine the exact regime of $p$ where such sums enjoy Schur-monotonicity. |
| title | Moments of sums of exponentials, beyond CHS |
| topic | Probability 60E15, 26D15 |
| url | https://arxiv.org/abs/2602.03058 |