摘要
利用Markov不等式,在指数矩条件下给出次线性期望空间下的同分布负相依(ND)随机变量序列的完全收敛与完全积分收敛,从而将概率空间中的完全收敛与完全矩收敛推广到次线性期望空间中,并得到与之类似的结果.
By using the Markov inequality,under exponential moment condition,we gave the complete convergence and complete integral convergence of sequence of negatively dependent(ND)random variables with the same distribution in the sub-linear expectation space.Thus,the complete convergence and complete moment convergence in probability space were extended to the sub-linear expectation space,and similar results were obtained.
作者
李婕
吴群英
LI Jie;WU Qunying(College of Science,Guilin University of Technology,Guilin 541004,Guangxi Zhuang Autonomous Region,China)
出处
《吉林大学学报（理学版）》
CAS
北大核心
2019年第2期305-310,共6页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:11661029)
广西自然科学基金(批准号:2018GXNSFAA281011)
关键词
次线性期望
ND序列
完全收敛
完全积分收敛
sub-linear expectation
negatively dependent(ND)sequence
complete convergence
complete integral convergence
