次线性期望空间下END列加权和的几乎处处收敛性

Almost Sure Convergence of Weighted Sums forEND Sequences in Sub-linear Expectation Spaces

利用与概率空间不同的研究方法,在Choquet积分存在的条件下,研究次线性期望空间中广义负相依(END)随机变量序列加权和的几乎处处收敛性,得到了几乎处处收敛性定理,从而把该定理从传统概率空间扩展到次线性期望空间.

Using the different research methods than the probability space,under the condition that the Choquet integrals existed,we studied the almost sure convergence of weighted sums for extended negatively dependent(END)random variable sequenc es in the sub-linear expectation spaces,and obtained the almost sure convergence theorem,which extended the theorem from the traditional probability space to the sub-linear expectation spaces.