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Central Limit Theorems for Asymptotically Negatively Associated Random Fields

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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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Authors and Affiliations

  1. Department of Mathematics, Zhejiang University, Xixi Campus, Hangzhou 310028, P. R. China

    Lixin Zhang

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  1. Lixin Zhang
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Correspondence to Lixin Zhang.

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Research supported by National Natural Science Foundation of China (No. 19701011)

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Zhang, L. Central Limit Theorems for Asymptotically Negatively Associated Random Fields. Acta Math Sinica 16, 691–710 (2000). https://doi.org/10.1007/s101140000084

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  • DOI: https://doi.org/10.1007/s101140000084

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