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Communications in Statistics - Theory and Methods Volume 49, 2020 - Issue 2
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Original Articles

Weak and strong laws of large numbers for sub-linear expectation

Cheng HuSchool of Mathematics and Statistics, Shandong Normal University, Jinan, Shandong, ChinaCorrespondence[email protected]
Pages 430-440 | Received 15 Apr 2018, Accepted 22 Oct 2018, Published online: 05 Feb 2019

Citations (10)

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Read on this site (2)

Zhao-Ang Zhang. (2024) Strong law of large numbers for linear processes under sublinear expectation. Communications in Statistics - Theory and Methods 53:6, pages 2205-2218.
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Zhouting Zhan & Qunying Wu. (2022) Strong laws of large numbers for weighted sums of extended negatively dependent random variables under sub-linear expectations. Communications in Statistics - Theory and Methods 51:5, pages 1197-1216.
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Articles from other publishers (8)

Cheng Hu, Li Wang & Gaofeng Zong. (2024) Limit theorems for delayed sums under sublinear expectation. Journal of Mathematical Analysis and Applications 535:1, pages 128084.
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Lizhen Huang & Qunying Wu. (2023) Precise asymptotics for complete integral convergence in the law of the logarithm under the sub-linear expectations. AIMS Mathematics 8:4, pages 8964-8984.
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Binxia Chen & Qunying Wu. (2023) The laws of large numbers for Pareto-type random variables under sub-linear expectation. Frontiers of Mathematics 17:5, pages 783-796.
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Yiwei Lin. (2022) Laws of large numbers under model uncertainty with an application to m-dependent random variables. Journal of Mathematical Analysis and Applications 513:1, pages 126200.
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Li Wang & Qunying Wu. (2022) Almost sure convergence theorems for arrays under sub-linear expectations. AIMS Mathematics 7:10, pages 17767-17784.
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Xiaofan Guo & Xinpeng Li. (2021) On the laws of large numbers for pseudo-independent random variables under sublinear expectation. Statistics & Probability Letters 172, pages 109042.
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Ying Fang, Lu Wang, Zhongfeng Qu & Wenguang Yu. (2020) Pareto-Optimal Reinsurance Revisited: A Two-Stage Optimisation Procedure Approach. Mathematical Problems in Engineering 2020, pages 1-16.
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Cheng Hu. (2020) Marcinkiewicz–Zygmund Laws of Large Numbers under Sublinear Expectation. Mathematical Problems in Engineering 2020, pages 1-11.
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