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一类负相依随机变量序列的强大数定律

The strong law of large numbers for negatively associated random variables
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摘要 本文利用Hajek-Renyi型最大值不等式得到了一类负相依随机变量序列的强大数定律,从而使某些已知结果为其特例。 Some results of the strong law of large numbers under negative association are obtained by using a maximal inequality. As corollaries, some results are the particular cases of the result in this paper.
出处 《河北工程大学学报(自然科学版)》 CAS 2008年第2期110-112,共3页 Journal of Hebei University of Engineering:Natural Science Edition
基金 国家自然科学基金资助项目(10571076)
关键词 负相依 随机变量 强大数定律 Hajek-Renyi型不等式 negative association random variable the strong law of large numbers maximal inequality
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参考文献5

  • 1FAZEKES I, KLESOV O. A general approach to the strong law of large numbers[J]. Theory Probab. Appl., 2000, 45: 436 - 449.
  • 2CHUNG K L. Note on some strong laws of large numbers [J]. Amer. J. Math., 1947,69:189 - 192.
  • 3TEICHER H. Some new conditions for the strong law[J]. Proc. Nat. Acad. Sci., USA, 1968,59 : 705 - 707.
  • 4MATULA P. A note on the almost sure convergence of sums of negatively associated random variables[J]. Statist. Probab. Lett. Appl., 1992, 15:209-213.
  • 5SHAO Q M. Maximal inequalities for partial sums of sequences [ J]. Ann. Probab., 1995,23 : 948 - 965.

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