JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2021, Vol. 56 ›› Issue (12): 78-83.doi: 10.6040/j.issn.1671-9352.0.2021.447

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Law of the single logarithm for the self-normalized sums for arrays

KE Chun-mei1, CHEN Liang-lu1, HUANG Ying-qiang2*   

  1. 1. Department of Statistics, Jinan University, Guangzhou 510630, Guangdong, China;
    2. School of Data Science, Guangzhou Huashang College, Guangzhou 511300, Guangdong, China
  • Published:2021-11-25

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Abstract: By the self-normalized sum moderate deviations, the law of the single logarithm for the self-normalized sums for arrays is obtained, which generalizes the current results. As the application, the law of the single logarithm for the t-statistics of arrays is derived.

Key words: self-normalized sum, law of the single logarithm, array, moderate deviation

CLC Number: 

  • O211.4
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