H{\"o}lderian weak invariance principle under Maxwell and Woodroofe condition

TL;DR

This paper explores the conditions under which the weak invariance principle holds in Hölder spaces, specifically strengthening the Maxwell and Woodroofe condition to establish more robust results.

Contribution

It introduces a reinforced version of the Maxwell and Woodroofe condition to ensure the weak invariance principle in Hölder spaces, advancing theoretical understanding.

Findings

Established weak invariance principle under strengthened conditions

Extended applicability of invariance principles to Hölder spaces

Provided theoretical framework for future research

Abstract

We investigate the weak invariance principle in H{\"o}lder spaces under some reinforcement of the Maxwell and Woodroofe condition.