Zhang, Lixin, Central Limit Theorems for Asymptotically Negatively Associated Random Fields, Acta mathematica Sinica. English series (Print) , 16(4), 2000, pp. 691-710
The aim of this paper is to investigate the central limit theorems for asymptotically negatively dependent random fields under lower moment conditions or the Lindeberg condition. Results obtained improve a central limit theorem of Roussas [11] for negatively assiated fields and the main results of Su and Chi [18], and also include a central limit of theorem for weakly negatively associated random variables similar to that of Burton et al. [20].