Central Limit Theorems for Asymptotically Negatively Associated Random Fields

摘要

The aim of this paper is to investigate the central limit theorems for asymptoticallynegatively dependent random fields under lower moment conditions or the Lindeberg condition. Resultsobtained improve a central limit theorem of Roussas[11]for negatively associated fields and the mainresults of Su and Chi [18]. and also include a central limit theorem for weakly negatively associatedrandom variables similar to that of Burton et al.[20].