次线性期望空间下END阵列加权和的完全积分收敛
Complete Integration Convergence for Weighted Sums of Arrays of END Under Sub-Linear Expectations Space
- 武汉大学学报（理学版）
- 作者机构：
1.桂林理工大学 理学院，广西 桂林 541004
- 作者简介：
李书燕，女，硕士生，现从事概率极限理论研究。E-mail：920993455@qq.com
E-mail： wqy666@glut.edu.cn
- 基金信息：国家自然科学基金(12061028);广西自然科学基金面上项目(2018GXNSFAA281011)
DOI：10.14188/j.1671-8836.2020.0221
中图分类号： O211.4纸质出版日期：2021-04-24，
收稿日期：2020-09-10，
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引用本文
李书燕,吴群英.次线性期望空间下END阵列加权和的完全积分收敛[J].武汉大学学报（理学版）,2021,67(2):165-172.
LI Shuyan,WU Qunying.Complete Integration Convergence for Weighted Sums of Arrays of END Under Sub-Linear Expectations Space [J].J Wuhan Univ （Nat Sci Ed）,2021,67(2):165-172.
李书燕,吴群英.次线性期望空间下END阵列加权和的完全积分收敛[J].武汉大学学报（理学版）,2021,67(2):165-172. DOI：10.14188/j.1671-8836.2020.0221
LI Shuyan,WU Qunying.Complete Integration Convergence for Weighted Sums of Arrays of END Under Sub-Linear Expectations Space [J].J Wuhan Univ （Nat Sci Ed）,2021,67(2):165-172. DOI：10.14188/j.1671-8836.2020.0221(Ch).
摘要
研究次线性期望空间下END(extended negatively dependent)阵列加权和的完全积分收敛性，将概率空间中END阵列加权和的完全矩收敛推广到次线性期望空间下的完全积分收敛。
Abstract
We study the complete integration convergence for weighted sums of arrays of row-wise END (extended negatively dependent) under sub-linear expectations space. The complete moment convergence of the weighted sum of the END sequence in the probability space is extended to the complete integral convergence of the sub-linear expectations space.
关键词
次线性期望完全积分收敛加权和END(extended negatively dependent)阵列
Keywords
sub-linear expectationscomplete integration convergenceweighted sumsarrays of END(extended negatively dependent)
references
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