论文标题
在L 1-针对性条件下的固定随机字段的中心极限定理上
On the central limit theorem for stationary random fields under L 1 -projective condition
论文作者
论文摘要
本文的第一个目的是怀疑在所谓的L 1个标准标准下，我们可以在多大程度上将戈登的中心限制定理[5]概括为在完全通勤过滤时，将其概括为带有奇异的固定随机场。令人惊讶的是，似乎无法扩展到其完整的一般性，并且需要附加条件。
The first aim of this paper is to wonder to what extent we can generalize the central limit theorem of Gordin [5] under the so-called L 1-projective criteria to ergodic stationary random fields when completely commuting filtrations are considered. Surprisingly it appears that this result cannot be extended to its full generality and that an additional condition is needed.
