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arXiv · 2404.16800

Complementary asymptotic analysis for a minimal random walk

Cristian F. Coletti·Manuel González-Navarrete·Víctor Hugo Vázquez Guevara
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Abstract

We discuss a complementary asymptotic analysis of the so called minimal random walk. More precisely, we present a version of the almost sure central limit theorem as well as a generalization of the recently proposed quadratic strong laws. In addition, alternative demonstrations of the functional limit theorems will be supplied based on a P\'olya urn scheme instead of a martingale approach.

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Cristian F. Coletti, Manuel González-Navarrete, Víctor Hugo Vázquez Guevara. 2024-04-25. Complementary asymptotic analysis for a minimal random walk. https://arxiv.org/abs/2404.16800

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