李育强, 姚强. 简单随机游动弱记录数的偏差[J]. 应用概率统计, 2021, 37(5): 515-522. DOI: 10.3969/j.issn.1001-4268.2021.05.007
引用本文: 李育强, 姚强. 简单随机游动弱记录数的偏差[J]. 应用概率统计, 2021, 37(5): 515-522. DOI: 10.3969/j.issn.1001-4268.2021.05.007
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LI Yuqiang, YAO Qiang. Deviations for Weak Record Numbers in Simple Random Walks[J]. Chinese Journal of Applied Probability and Statistics, 2021, 37(5): 515-522. DOI: 10.3969/j.issn.1001-4268.2021.05.007
Citation: LI Yuqiang, YAO Qiang. Deviations for Weak Record Numbers in Simple Random Walks[J]. Chinese Journal of Applied Probability and Statistics, 2021, 37(5): 515-522. DOI: 10.3969/j.issn.1001-4268.2021.05.007
shu

简单随机游动弱记录数的偏差

Deviations for Weak Record Numbers in Simple Random Walks

    摘要
  • 摘要: 记录数是随机游动模型中的一个基础统计量.本文给出了直线上简单对称随机游动弱记录数的大偏差和中偏差.

     

    Abstract: Record numbers are important statistics in random walk models. Their deviation principles are unknown as far as we know. In this article, we provide the asymptotic probabilities of large and moderate deviations for the number of weak records in one-dimensional symmetric simple random walks.

     

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