| 次线性期望空间下END序列加权和的完全收敛性 |
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| 引用本文： | 嘉程程,吴群英. 次线性期望空间下END序列加权和的完全收敛性[J]. 山东大学学报(理学版), 2022, 57(10): 79-87. DOI: 10.6040/j.issn.1671-9352.0.2021.780 |
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| 作者姓名： | 嘉程程 吴群英 |
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| 作者单位： | 桂林理工大学理学院, 广西 桂林 541004 |
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| 基金项目： | 国家自然科学基金资助项目(12061028) |
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| 摘 要： | 以次线性期望空间下的指数不等式为研究工具,在1/α+1/β=1/p, C(-overV)(|X|rp)<∞的条件下,根据此指数不等式,将传统概率空间中随机变量序列加权和的完全收敛性,推至次线性期望空间。
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| 关 键 词： | 次线性期望空间 完全收敛性 END序列 |
Complete convergence of weighted sums for END sequence under sub-linear expectation space |
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| JIA Cheng-cheng,WU Qun-ying. Complete convergence of weighted sums for END sequence under sub-linear expectation space[J]. Journal of Shandong University, 2022, 57(10): 79-87. DOI: 10.6040/j.issn.1671-9352.0.2021.780 |
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| Authors: | JIA Cheng-cheng WU Qun-ying |
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| Affiliation: | College of Science, Guilin University of Technology, Guilin 541004, Guangxi, China |
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| Abstract: | Using the exponential inequality in the sub-linear expectation space as a research tool, under the condition of 1/α+1/β=1/p, C(-overV)(|X|rp)<∞, according to this exponential inequality, the complete convergence of the weighted sum of random variable sequences in the traditional probability space is extended to the sublinear expectation space. |
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| Keywords: | sub-linear expectation space complete convergence END sequence |
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