摘要
本文研究了条件为C_V(|X|~p)<∞, even ê(|X|p)≤C_V(|X|p), 0 <p≤2的次线性期望空间下广义ND序列的加权和的几乎处处收敛.作为应用,我们的结果扩展了SILVA(2015)在概率空间下的相应结果.此外,本文的结果扩展了次线性期望空间下加权和的几乎处处收敛.
In this thesis,we discuss almost sure convergence of weighted sums for END random variables with the condition of C_V(|X|~p)<∞,evenê(|X|p)≤C_V(|X|p),0<p≤2 for sub-linear expectations space.As an application,our result extends the corresponding results of SILVA(2015)relative to the classical probability.In addition,the result of our paper is the extension of the almost sure convergence of weighted sums under the sub-linear expectation space.
作者
王文娟
吴群英
WANG Wenjuan;WU Qunying(College of Science,Guilin University of Technology,Guilin 541006,China)
出处
《应用数学》
CSCD
北大核心
2019年第2期382-391,共10页
Mathematica Applicata
基金
Supported by the National Natural Science Foundation of China(11661029)
the Support Program of the Guangxi China Science Foundation(2015GXNSFAA139008,2018GXN SFAA281011)
关键词
加权和
次线性期望
几乎处处收敛
END随机变量
Weighted sum
Sub-linear expectation
Almost sure convergence
END random variables
