| 次线性期望下具有随机系数相依线性过程的完全积分收敛性 |
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| 引用本文： | 张冰冰,吴群英.次线性期望下具有随机系数相依线性过程的完全积分收敛性[J].吉林大学学报(理学版),2021,59(2):271-278. |
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| 作者姓名： | 张冰冰 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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| 摘 要： | 利用不同于概率空间的研究方法, 给出当CV|ε|p<∞时次线性期望下具有随机系数的相依线性过程的完全积分收敛性, 从而将概率空间下具有随机系数的相依线性过程的完全矩收敛推广到次线性空间中.
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| 关 键 词： | 完全积分收敛 线性过程 次线性期望 相依 |
| 收稿时间： | 2020-06-11 |
Complete Integral Convergence of Dependent Linear Process with Random Coefficients under Sublinear Expectations |
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| ZHANG Bingbing,WU Qunying.Complete Integral Convergence of Dependent Linear Process with Random Coefficients under Sublinear Expectations[J].Journal of Jilin University: Sci Ed,2021,59(2):271-278. |
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| Authors: | ZHANG Bingbing WU Qunying |
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| Institution: | College of Science, Guilin University of Technology, Guilin 541004, Guangxi Zhuang Autonomous Region, China |
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| Abstract: | By using research methods different from probability spaces, we gave the complete integral convergence of the dependent linear process with random coefficients under the sublinear expectation when CV|ε|p<∞. Thus, the complete moment convergence of the dependent linear process with random coefficients in the probability space was extended to the sublinear space. |
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| Keywords: | complete integral convergence linear process sublinear expectation dependent |
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