论文标题
在Riesz空间中生成功能
Generating functions in Riesz spaces
论文作者
论文摘要
我们在Dedekind完整的Riesz空间中介绍并研究了自然元素生成功能的概念,该空间配备有条件期望的操作员。这允许在自由估计环境中研究离散过程。特别是,我们改善了Kuo,Vardy和Watson在Poisson近似方面获得的结果。
We introduce and study the concept of generating function for natural elements in a Dedekind complete Riesz space equipped with a conditional expectatnion operator. This allows to study discrete processes in free-measure setting. In particular we improve a result obtained by Kuo, Vardy and Watson concerning Poisson approximation.