| Hájek-Rényi-type inequality and strong law of large numbers for some dependent sequences |
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| 基金项目： | Supported by the National Natural Science Foundation of China (No. 11171001, 11126176);Natural Science Foundation of Anhui Province (No. 1208085QA03);Provincial Natural Science Research Project of Anhui Colleges (No. KJ2010A005) |
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| 摘 要： | In this paper, we get the Hjek-Rényi-type inequalities for a pairwise NQD sequence, an Lr (r > 1) mixingale and a linear process, which have the concrete coefficients. In addition, we obtain the strong law of large numbers, strong growth rate and the integrability of supremum for the above sequences, which generalize and improve Corollary 2 for Lr (r > 1) mixingale of Hansen.
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| 关 键 词： | 两两NQD序列 大数定律 不等式 哈耶克 |
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