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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.01708 |
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| _version_ | 1866912461187186688 |
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| author | Tokumitsu, Go |
| author_facet | Tokumitsu, Go |
| contents | We prove functional central limit theorems for the dynamic elephant random walk in the $\sqrt{n}$ and $\sqrt{n\log n}$ orders, by applying the martingale convergence theorem and Karamata's theory of regular variation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_01708 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Functional central limit theorems for the dynamic elephant random walk Tokumitsu, Go Probability We prove functional central limit theorems for the dynamic elephant random walk in the $\sqrt{n}$ and $\sqrt{n\log n}$ orders, by applying the martingale convergence theorem and Karamata's theory of regular variation. |
| title | Functional central limit theorems for the dynamic elephant random walk |
| topic | Probability |
| url | https://arxiv.org/abs/2507.01708 |