次线性期望空间下END列Jamison型加权和的几乎处处收敛性

Almost Sure Convergence of Jamison Type Weighted Sums ofEND Sequence in Sub-linear Expectation Space

利用截尾的方法,考虑次线性期望空间下广义负相依(END)随机变量序列Jamison型加权和的几乎处处收敛问题,得到了次线性期望空间下END随机变量序列Jamison型加权和的几乎处处收敛性.将概率空间下END随机变量序列Jamison型加权和的几乎处处收敛拓展到了次线性期望空间下,推广了Jamison定理.

We considered the convergence problem of the Jamison type weighted sums of extended negatively dependent(END)random variab le sequences in a sub-linear expectation space by using the truncation method,and obtained the convergence of the Jamison type weighted sums of END random vari able sequences in a sub-linear expectation space.We extended almost sure convergence of Jamison type weighted sums of END random variable sequences in probability spaces to sub-linear expectation spaces,and the Jamison theorem was generalized.