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].
Lixin Zhang Department of Mathematics, Zhejiang University. Xixi Campus. Hangzhou 310028. P. R. China
