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General Central Limit Theorems for Associated Sequences

Published 22 Oct 2016 in math.PR | (1610.07101v2)

Abstract: In this paper, we provide general central limit theorems (CLT's) for associated random variables (rv's) following the approaches used by Newman (1980) and Olivera et al.(2012). Given some assumptions, a Lyapounov-Feller-Levy type theorem is stated. We next specify different particular CLT versions of associated sequences based on moment conditions. A comparison study with available CTL's is performed. As a by-product, we complete an important available theorem where an assumption was missing.

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Authors (2)

  1. Harouna Sangaré 
  2. Gane Samb Lo 

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