On the Bahadur representation of sample quantiles and order statistics for NA sequences |
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| Authors: | ShouFang Xu Li Ge Yu Miao |
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| Institution: | 1. Department of Mathematics and Information Science, Xinxiang University, Henan Province, 453000, China;2. Department of Mathematics, Henan Institute of Science and Technology, Henan Province, 453003, China;3. College of Mathematics and Information Science, Henan Normal University, Henan Province, 453007, China |
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| Abstract: | In this paper, the Bahadur representation of sample quantiles for negatively associated (NA) sequences under mild conditions is established, which improves the results of Xing and Yang (2011). Furthermore, we also obtain the Bahadur representation of order statistics based on the NA sequences. |
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