Functional central limit theorem for dependent models with finite memory
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908407743643648 |
|---|---|
| author | Guevara, Víctor Hugo Vázquez González-Navarrete, Manuel |
| author_facet | Guevara, Víctor Hugo Vázquez González-Navarrete, Manuel |
| contents | We provide complementary results for a family of models with dependence on their previous $k$-sum. Using a martingale-based approach, we establish a functional central limit theorem and analyze the limiting behavior of the center of mass. Additionally, we explore the connection between our findings and the study of certain reinforced random walks in the literature |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_12145 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Functional central limit theorem for dependent models with finite memory Guevara, Víctor Hugo Vázquez González-Navarrete, Manuel Probability Functional Analysis We provide complementary results for a family of models with dependence on their previous $k$-sum. Using a martingale-based approach, we establish a functional central limit theorem and analyze the limiting behavior of the center of mass. Additionally, we explore the connection between our findings and the study of certain reinforced random walks in the literature |
| title | Functional central limit theorem for dependent models with finite memory |
| topic | Probability Functional Analysis |
| url | https://arxiv.org/abs/2506.12145 |