Abstract
<abstract><p>In this article, we study the complete convergence and complete moment convergence for maximal weighted sums of extended negatively dependent random variables under sub-linear expectations. We also give some sufficient assumptions for the convergence. Moreover, we get the Marcinkiewicz-Zygmund type strong law of large numbers for weighted sums of extended negatively dependent random variables. The results obtained in this paper generalize the relevant ones in probability space.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference26 articles.
1. S. Peng, G-expectation, G-Brownian motion and related stochastic calculus of Itô type, In: Stochastic analysis and applications, Berlin: Springer, 2007,541–567. https://doi.org/10.1007/978-3-540-70847-6_25
2. S. Peng, Nonlinear expectations and stochastic calculus under uncertainty, 1 Eds., Berlin: Springer, 2019. https://doi.org/10.1007/978-3-662-59903-7
3. L. Zhang, Exponential inequalities under the sub-linear expectations with applications to laws of the iterated logarithm, Sci. China Math., 59 (2016), 2503–2526. https://doi.org/10.1007/s11425-016-0079-1
4. L. Zhang, Rosenthal's inequalities for independent and negatively dependent random variables under sub-linear expectations with applications, Sci. China Math., 59 (2016), 751–768. https://doi.org/10.1007/s11425-015-5105-2
5. M. Xu, K. Cheng, W. Yu, Complete convergence for weighted sums of negatively dependent random variables under sub-linear expectations, AIMS Mathematics, 7 (2022), 19998–20019. https://doi.org/10.3934/math.20221094
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