摘要
对双参数平稳随机场理论进行了初步的探讨,证明了双可交换的两个保测变换与此平稳随机场之间的一一对应关系,并给出了相应的几类不变σ-代数之间的关系。
In this paper, we study the basic theory of stationary random fields and find an one to one correspondence between the two parameter stationary processes and the exchangeable measure preserving transformations. In the end, the relations between some invariant σ algebras are figured out.
出处
《工程数学学报》
EI
CSCD
北大核心
1997年第4期119-122,共4页
Chinese Journal of Engineering Mathematics