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A Berry–Esseen Theorem and a Law of the Iterated Logarithm for Asymptotically Negatively Associated Sequences

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Abstract

Negatively associated sequences have been studied extensively in recent years. Asymptotically negative association is a generalization of negative association. In this paper a Berry–Esseen theorem and a law of the iterated logarithm are obtained for asymptotically negatively associated sequences.

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Correspondence to Jian Feng Wang.

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Research supported by National Natural Science Foundation of China (No. 10471126)

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Wang, J.F., Zhang, L.X. A Berry–Esseen Theorem and a Law of the Iterated Logarithm for Asymptotically Negatively Associated Sequences. Acta Math Sinica 23, 127–136 (2007). https://doi.org/10.1007/s10114-005-0800-5

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  • DOI: https://doi.org/10.1007/s10114-005-0800-5

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