Abstract
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.
Information
Published: 1 January 2018
First available in Project Euclid: 26 September 2019
Digital Object Identifier: 10.16929/sbs/2018.100-04-01
Subjects:
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
