摘要
次线性期望提供了一个非常灵活的框架来对不确定的现象概率问题建立模型,大量的问题引起许多人的兴趣.在本文中,通过利用次线性期望的概率不等式,我们得到Marcinkiewicz’s强大数定律.
The sub-linear expectations provides a very flexible framework to model uncertain phenomena probability problems, a large number of issues have raised many people＇s interests. In this paper, by using probability inequalities of sub-linear expectations,we obtain Marcinkiewicz＇s strong law of large numbers.
作者
付宗魁
费丹丹
吴群英
FU Zongku;FEI Dandan;WU Qunymg(Institute of Mathematics and Computer, Xinyang College, Xinyang 464000, China;College of Science, Guilin University of Technology, Guilin 541004, China)
出处
《应用数学》
CSCD
北大核心
2018年第3期631-637,共7页
Mathematica Applicata
基金
Supported by the National Natural Science Fundation of China(11661029)
Xinyang College General Project(2017yb07)
关键词
强大数定律
次线性期望
独立同分布随机变量
Strong law of large number
Sub-linear expectation
Independent andidentical random variable
