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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.05475 |
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| _version_ | 1866910732387352576 |
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| author | Gaunt, Robert E. |
| author_facet | Gaunt, Robert E. |
| contents | Building on the rather large literature concerning the regularity of the solution of the standard normal Stein equation, we provide a complete description of the best possible uniform bounds for the derivatives of the solution of the standard normal Stein equation when the test functions belong to the class of real-valued functions whose $k$-th order derivative is Lipschitz. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_05475 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Stein factors in Stein's method for normal approximation Gaunt, Robert E. Probability 60F05 Building on the rather large literature concerning the regularity of the solution of the standard normal Stein equation, we provide a complete description of the best possible uniform bounds for the derivatives of the solution of the standard normal Stein equation when the test functions belong to the class of real-valued functions whose $k$-th order derivative is Lipschitz. |
| title | On Stein factors in Stein's method for normal approximation |
| topic | Probability 60F05 |
| url | https://arxiv.org/abs/2410.05475 |