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次线性期望下的若干矩不等式

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次线性期望下的若干矩不等式 兰玉婷1, 张宁21. 上海财经大学统计与管理学院, 上海 200433;
2. 山东大学数学学院, 济南 250100 Several Moment Inequalities under Sublinear Expectations LAN Yuting1, ZHANG Ning21. School of Statistics and Management, Shanghai University of Finance and Economics, Shanghai 200433, Chin;
2. School of Mathematics, Shandong University, Jinan 250100, China
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摘要本文在Peng建立的次线性期望空间下证明了Bernstein不等式,Kolmogorov不等式以及Rademacher不等式.进一步,本文分别应用Bernstein不等式、Kolmogorov不等式以及Rademacher不等式对次线性期望空间下随机变量列的拟必然收敛性质进行了深入研究,并得到了相应的强收敛定理.
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收稿日期: 2017-12-29
PACS:O211.4
O211.5
基金资助:国家自然科学基金青年项目(11601280)资助.
引用本文:
兰玉婷, 张宁. 次线性期望下的若干矩不等式[J]. 应用数学学报, 2018, 41(2): 229-248. LAN Yuting, ZHANG Ning. Several Moment Inequalities under Sublinear Expectations. Acta Mathematicae Applicatae Sinica, 2018, 41(2): 229-248.
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