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关于随机游动上确界的尾概率的上界不等式
引用本文:刘希军,王岳宝.关于随机游动上确界的尾概率的上界不等式[J].苏州大学学报(医学版),2009,25(1):4-6.
作者姓名:刘希军  王岳宝
作者单位:苏州大学,数学科学学院,江苏,苏州,215006  
摘    要:假设η,η1,η2,…是NUOD且同分布的随机变量列,本文得到了随机游动上确界的尾概率的一个上界不等式.这一结果推广了Leipus等(2007)的相应结果,并且两者使用的方法是不同的.我们指出,后者事实上包含在Veraverbeke(1977)的结果中.

关 键 词:随机游动  上确界  不等式  NUOD

On upper bound inequality of tail probability for the supremum of a random walk
Liu Xijun,Wang Yuebao.On upper bound inequality of tail probability for the supremum of a random walk[J].Journal of Suzhou University(Natural Science),2009,25(1):4-6.
Authors:Liu Xijun  Wang Yuebao
Institution:School of Mathematic Science;Suzhou Univ.;Suzhou 215006;China
Abstract:Suppose that random variables η,η1,η2,… are identical distribution and NUOD, this paper obtains an upper bound inequality of tail probability for the supremum of a random walk. The result extends the corresponding result of Leipus et al (2007). and the method we use is different from their. Finally, we point out that the latter, in fact, is included by Theorem 2 (A) of Veraverbeke (1977).
Keywords:NUOD
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