Strong Approximations in the Almost Sure Central Limit Theorem and Limit Behavior of the Center of Mass
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913416468234240 |
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| author | Hua, Zhishui Wanga, Wei Dong, Liang |
| author_facet | Hua, Zhishui Wanga, Wei Dong, Liang |
| contents | In this paper, we establish an almost sure central limit theorem for a general random sequence under a strong approximation condition. Additionally, we derive the law of the iterated logarithm for the center of mass corresponding to a random sequence under a different strong approximation condition. Applications to step-reinforced random walks are also discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_03659 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Strong Approximations in the Almost Sure Central Limit Theorem and Limit Behavior of the Center of Mass Hua, Zhishui Wanga, Wei Dong, Liang Probability In this paper, we establish an almost sure central limit theorem for a general random sequence under a strong approximation condition. Additionally, we derive the law of the iterated logarithm for the center of mass corresponding to a random sequence under a different strong approximation condition. Applications to step-reinforced random walks are also discussed. |
| title | Strong Approximations in the Almost Sure Central Limit Theorem and Limit Behavior of the Center of Mass |
| topic | Probability |
| url | https://arxiv.org/abs/2407.03659 |