On Wasserstein-1 distance in the central limit theorem for elephant random walk
Author:
Affiliation:
1. Center for Applied Mathematics, Tianjin University, 300072 Tianjin, China
2. Laboratoire de Mathématiques Raphaël Salem, UMR CNRS 6085, Université de Rouen, Rouen, France
Publisher
AIP Publishing
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Link
https://aip.scitation.org/doi/pdf/10.1063/5.0050312
Reference14 articles.
1. Elephant random walks and their connection to Pólya-type urns
2. A martingale approach for the elephant random walk
3. On the center of mass of the elephant random walk
4. Exact Convergence Rates in Some Martingale Central Limit Theorems
5. Central limit theorem and related results for the elephant random walk
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1. Gaussian fluctuations of the elephant random walk with gradually increasing memory;Journal of Physics A: Mathematical and Theoretical;2024-01-31
2. On the central limit theorem for the elephant random walk with gradually increasing memory and random step size;AIMS Mathematics;2024
3. Analysis of the Smoothly Amnesia-Reinforced Multidimensional Elephant Random Walk;Journal of Statistical Physics;2023-10-16
4. Rates of Convergence in the Central Limit Theorem for the Elephant Random Walk with Random Step Sizes;Journal of Statistical Physics;2023-09-27
5. Rate of moment convergence in the central limit theorem for the elephant random walk;Journal of Statistical Mechanics: Theory and Experiment;2023-02-01
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