高斯随机变量序列的收敛性和抽象Wiener空间

The Convergence of Gaussian Stochastic Sequencesand abstract Spaces

研究Ｇａｕｓｓ随机变量序列的０－１律与相关的抽象Ｗｉｅｎｅｒ空间．主要结果如下：设｛Ｆｎ（ｗ）｝是概率空间（Ω，，Ｐ）上的Ｇａｕｓｓ随机变量序列．若对任何实数是高斯随机变量，则有收敛或１。

The 0-1 Laws of sequences of Gaussinn stochastic variables and related abstract Wiener spaces are studied. The main result is as follows:Let {Fn(w) } be a sequence of Gaussian stochastic varisbles on a probability space, Suppose that for any real numbers is a Gaussinn stochastic variable.Then we have