Une nouvelle condition d'independance pour le theoreme de la limite centrale

TL;DR

This paper introduces a new, weaker set of independence conditions under which a central limit theorem can be proven, broadening the scope of classical results.

Contribution

It presents a novel independence condition that relaxes traditional assumptions for the central limit theorem.

Findings

Established a central limit theorem under weaker independence assumptions

Broadened applicability of CLT to more general dependent structures

Provided theoretical proof of the new conditions

Abstract

We prove a central limit theorem with aassumptions which are many weak than classical conditions