Central Limit Theorems for Asymptotically Negatively Associated Random Fields

Author: Zhang, Lixin

Source: Acta Mathematica Sinica, Volume 16, Number 4, October 2000 , pp. 691-710(20)

Publisher: Springer

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Abstract:

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].
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