Complementary asymptotic analysis for a minimal random walk
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916223209439232 |
|---|---|
| author | Coletti, Cristian F. González-Navarrete, Manuel Guevara, Víctor Hugo Vázquez |
| author_facet | Coletti, Cristian F. González-Navarrete, Manuel Guevara, Víctor Hugo Vázquez |
| contents | 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 Pólya urn scheme instead of a martingale approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_16800 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Complementary asymptotic analysis for a minimal random walk Coletti, Cristian F. González-Navarrete, Manuel Guevara, Víctor Hugo Vázquez Probability 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 Pólya urn scheme instead of a martingale approach. |
| title | Complementary asymptotic analysis for a minimal random walk |
| topic | Probability |
| url | https://arxiv.org/abs/2404.16800 |