A new Berry-Esseen-type estimate in the free central limit theorem
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915218804703232 |
|---|---|
| author | Neufeld, Leonie |
| author_facet | Neufeld, Leonie |
| contents | Using the subordination approach, we provide a new Berry-Esseen-type estimate in the free central limit theorem in terms of the fourth Lyapunov fraction. In the special case of identical distributions, our result implies a rate of order $n^{-1/2 + \varepsilon}$ for any $\varepsilon>0$, thus almost leading to the optimal rate of order $n^{-1/2}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_23403 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A new Berry-Esseen-type estimate in the free central limit theorem Neufeld, Leonie Probability Operator Algebras 46L54, 60E05 Using the subordination approach, we provide a new Berry-Esseen-type estimate in the free central limit theorem in terms of the fourth Lyapunov fraction. In the special case of identical distributions, our result implies a rate of order $n^{-1/2 + \varepsilon}$ for any $\varepsilon>0$, thus almost leading to the optimal rate of order $n^{-1/2}$. |
| title | A new Berry-Esseen-type estimate in the free central limit theorem |
| topic | Probability Operator Algebras 46L54, 60E05 |
| url | https://arxiv.org/abs/2503.23403 |