论文标题
〜固定随机场的定向幻影分布函数
Directional phantom distribution functions for~stationary random fields
论文作者
论文摘要
我们为常规晶格上的固定随机场存在幻象分布函数提供了必要的条件。我们还引入了对方向性幻象分布的要求较少的概念，并具有更广泛的适用性领域。这种方法导致了部门极限特性，这是一种随机字段的极限定理中众所周知的现象。提供了固定的高斯随机场的一个示例，表明这两个概念不合时间。还列出了极端指数和部门极端指数的相应概念的标准。
We give necessary and sufficient conditions for the existence of a phantom distribution function for a stationary random field on a regular lattice. We also introduce a less demanding notion of a directional phantom distribution, with potentially broader area of applicability. Such approach leads to sectorial limit properties, a phenomenon well-known in limit theorems for random fields. An example of a stationary Gaussian random field is provided showing that the two notions do not coincide. Criteria for the existence of the corresponding notions of the extremal index and the sectorial extremal index are also given.
