Rate of moment convergence in the central limit theorem for the elephant random walk

DOI10.1088/1742-5468/acb265OpenAlexW4321116798WikidataQ122227018 ScholiaQ122227018MaRDI QIDQ5877970

So Oshiro, Masato Takei, Masafumi Hayashi

Publication date: 16 February 2023

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.00651

zbMATH Keywords

asymptotic normalitylimit theoremsself-interacting random walksrandom walk with memoryelephant random walkstep reinforcement

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Related Items (2)

Rates of convergence in the central limit theorem for the elephant random walk with random step sizes ⋮ Analysis of the smoothly amnesia-reinforced multidimensional elephant random walk

Cites Work

• Universality of noise reinforced Brownian motions
• Gaussian fluctuation for superdiffusive elephant random walks
• Hypergeometric identities arising from the elephant random walk
• A strong invariance principle for the elephant random walk
• A martingale approach for the elephant random walk
• On Wasserstein-1 distance in the central limit theorem for elephant random walk
• Counting the zeros of an elephant random walk
• Central limit theorem and related results for the elephant random walk
• Cramér moderate deviations for the elephant random walk
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