A Review on asymptotic normality of sums of associated random variables

TL;DR

This paper reviews the theory of asymptotic normality for sums of associated random variables, providing a coherent overview to assist new researchers in understanding this area of probability theory.

Contribution

It offers a comprehensive and organized summary of existing results on asymptotic normality for associated variables, facilitating further research.

Findings

Summarizes key theoretical results

Clarifies conditions for asymptotic normality

Provides a coherent framework for future studies

Abstract

In this document, we make a round up of the theory of asymptotic normality of sums of associated random variables, in a coherent approach in view of further contributions for new researchers in the field. (Version 01)