Open Access
VOL. 1 | 2018 Chapter 18. General Central Limit Theorems for Associated Sequences
Harouna SANGARÉ, Gane Samb LO

Editor(s) Hamet SEYDI, Gane Samb LO, Aboubakary DIAKHABY


We provide general central limit theorems (CLT's) for associated random variables following the approaches used by Newman (1980) and Olivera et al.(2012). Given some assumptions, a Lynderberg-Feller-Levy type theorem is stated. We next specify different particular CTL versions of associated sequences based on moment conditions. Comparisons and application are addressed too.


Published: 1 January 2018
First available in Project Euclid: 26 September 2019

Digital Object Identifier: 10.16929/sbs/2018.100-04-01

Primary: 60F05 , 60Fxx , 60G11

Keywords: associated sequences , asymptotic statistics stationary sequences , central limit theorems , weak convergence

Rights: Copyright © 2018 The Statistics and Probability African Society

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