Results related to the Gaussian product inequality conjecture for mixed-sign exponents in arbitrary dimension
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866913953685176320 |
|---|---|
| author | Lan, Guolie Ouimet, Frédéric Sun, Wei |
| author_facet | Lan, Guolie Ouimet, Frédéric Sun, Wei |
| contents | This note establishes that the opposite Gaussian product inequality (GPI) of the type proved by Russell & Sun (2022a) in two dimensions, and partially extended to higher dimensions by Zhou et al. (2024), continues to hold for an arbitrary mix of positive and negative exponents. A general quantitative lower bound is also obtained conditionally on the GPI conjecture being true. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09976 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Results related to the Gaussian product inequality conjecture for mixed-sign exponents in arbitrary dimension Lan, Guolie Ouimet, Frédéric Sun, Wei Probability Statistics Theory 60E15, 26A48, 44A10, 62E15, 62H10, 62H12 This note establishes that the opposite Gaussian product inequality (GPI) of the type proved by Russell & Sun (2022a) in two dimensions, and partially extended to higher dimensions by Zhou et al. (2024), continues to hold for an arbitrary mix of positive and negative exponents. A general quantitative lower bound is also obtained conditionally on the GPI conjecture being true. |
| title | Results related to the Gaussian product inequality conjecture for mixed-sign exponents in arbitrary dimension |
| topic | Probability Statistics Theory 60E15, 26A48, 44A10, 62E15, 62H10, 62H12 |
| url | https://arxiv.org/abs/2505.09976 |