冯德成, 王晓艳, 高玉峰. PA序列的H\'{a}jek-R\'{e}nyi型不等式及强大数定律[J]. 应用概率统计, 2018, 34(2): 169-176. DOI: 10.3969/j.issn.1001-4268.2018.02.005
引用本文: 冯德成, 王晓艳, 高玉峰. PA序列的H\'{a}jek-R\'{e}nyi型不等式及强大数定律[J]. 应用概率统计, 2018, 34(2): 169-176. DOI: 10.3969/j.issn.1001-4268.2018.02.005
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FENG DeCheng, WANG XiaoYan, GAO YuFeng. H\'{a}jek-R\'{e}nyi-Type Inequality and Strong Law of Large Numbers for Associated Sequences[J]. Chinese Journal of Applied Probability and Statistics, 2018, 34(2): 169-176. DOI: 10.3969/j.issn.1001-4268.2018.02.005
Citation: FENG DeCheng, WANG XiaoYan, GAO YuFeng. H\'{a}jek-R\'{e}nyi-Type Inequality and Strong Law of Large Numbers for Associated Sequences[J]. Chinese Journal of Applied Probability and Statistics, 2018, 34(2): 169-176. DOI: 10.3969/j.issn.1001-4268.2018.02.005
shu

PA序列的H\'ajek-R\'enyi型不等式及强大数定律

H\'ajek-R\'enyi-Type Inequality and Strong Law of Large Numbers for Associated Sequences

    摘要
  • 摘要: 本文给出了零均值PA序列的一个新的H\'ajek-R\'enyi型不等式, 该不等式推广了文献ncite9中的结果.此外, 本文还得到了零均值PA序列的一个Brunk-Prokhorov型强大数定律.

     

    Abstract: In this paper, a new H\'ajek-R\'enyi-type inequality for mean zero associated random variables is obtained, which generalizes and improves the result of Theorem 2.2 of \ncite9. In addition, a Brunk-Prokhorov-type strong law of large numbers is also given.

     

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