A Review on asymptotic normality of sums of associated random variables

2014/05/16 by Gane Samb Lô, Lo, Gane Samb, Harouna Sangaré +3
Decision Sciences · #FOS: Computer and information sciences #Methodology (stat.ME) #Probability and Risk Models

paper · pdf · doi:10.48550/arxiv.1405.4316

openalex publication_date 2014/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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)

Related

• Asymptotics of summands I: square integrable independent random variables
• G-Central limit theorems and G-invariance principles for associated random variables
• Probability asymptotics: notes on notation
• General Central Limit Theorems for Associated Sequences
• Book Review: Limit distributions for sums of independent random variables