次线性期望空间下独立同分布序列的一个强大数定律

Strong Law of Large Numbers of Independent Identically Distributed Sequence Under Sub-linear Expectation Space

利用与概率空间不同的研究方法,研究次线性期望空间中独立同分布随机变量序列的加权和在某些条件下的一个强大数定律,从而将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,for a sequence of independent and identically distributed random variables,we research a strong law of large numbers for sums of the random variables with a certain conditions in sub-linear expectation space,and extend the theorem from the probability space to the sub-linear expectations space.