Functional central limit theorems for the dynamic elephant random walk
Probability
2025-07-03 v1
Abstract
We prove functional central limit theorems for the dynamic elephant random walk in the and orders, by applying the martingale convergence theorem and Karamata's theory of regular variation.
Keywords
Cite
@article{arxiv.2507.01708,
title = {Functional central limit theorems for the dynamic elephant random walk},
author = {Go Tokumitsu},
journal= {arXiv preprint arXiv:2507.01708},
year = {2025}
}