| 阵列自正则和的单对数律 |
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| 引用本文： | 柯春梅,陈亮陆,黄颖强.阵列自正则和的单对数律[J].山东大学学报(理学版),2021,56(12):78-83. |
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| 作者姓名： | 柯春梅 陈亮陆 黄颖强 |
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| 作者单位： | 1.暨南大学统计学系, 广东 广州 510630;2.广州华商学院数据科学学院, 广东 广州 511300 |
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| 摘 要： | 利用随机变量序列自正则和的中偏差理论,研究了随机变量阵列自正则和的单对数律,推广了已有的结果。作为应用,给出了随机变量阵列t-统计量的单对数律。
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| 关 键 词： | 自正则和 单对数律 阵列 中偏差 |
Law of the single logarithm for the self-normalized sums for arrays |
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| KE Chun-mei,CHEN Liang-lu,HUANG Ying-qiang.Law of the single logarithm for the self-normalized sums for arrays[J].Journal of Shandong University,2021,56(12):78-83. |
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| Authors: | KE Chun-mei CHEN Liang-lu HUANG Ying-qiang |
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| Institution: | 1. Department of Statistics, Jinan University, Guangzhou 510630, Guangdong, China;2. School of Data Science, Guangzhou Huashang College, Guangzhou 511300, Guangdong, China |
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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. |
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| Keywords: | self-normalized sum law of the single logarithm array moderate deviation |
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