On Higher Order Spectral Measures of Ergodic Stationary Processes
On Higher Order Spectral Measures of Ergodic Stationary Processes
复制标题
遍历平稳过程的高阶谱测度
DOI：
10.1137/1108048
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发表时间：
1963
期刊：
影响因子：
--
通讯作者：
Ya. G. Sinaj
中科院分区：
文献类型：
--
作者：
Ya. G. Sinaj
本文利用高阶谱矩给出了Fortet类平稳过程遍历性的一些必要条件。这些条件导致一些新的遍历定理，这样的过程和事实，某些谱措施唯一确定相应的过程。
In this paper some necessary conditions for the ergodicity of stationary processes belonging to the Fortet class [4] are given in terms of higher order spectral moments. These conditions lead to some new ergodic theorems for such processes and to the fact that certain spectral measures uniquely determine the corresponding processes.