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A Central Limit Theorem for Random Fields of Negatively Associated Processes
Authors:Ming Yuan  Chun Su  Taizhong Hu
Affiliation:(1) Department of Statistics, University of Wisconsin, Madison, Wisconsin, 53706;(2) Department of Statistics and Finance, University of Science and Technology of China, Hefei, Anhui, 230026, People's Republic of China
Abstract:A central limit theorem for negatively associated random fields is established under the fairly general conditions. We use the finite second moment condition instead of the finite (2+delta)th moment condition used by Roussas.(15) A similar result is also given for positively associated sequences.
Keywords:central limit theorem (CLT)  random field  positive association  negative association
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