April 25, 2024Open Access

Complementary asymptotic analysis for a minimal random walk

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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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Coletti et al. (Thu,) studied this question.

synapsesocial.com/papers/68e6dac2b6db64358765768f https://doi.org/https://doi.org/10.48550/arxiv.2404.16800

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