复制空间局部时间可调和时间序列的谱推断

IF 1 4区数学 Q3 STATISTICS & PROBABILITY

Electronic Journal of Statistics Pub Date : 2023-01-01 DOI:10.1214/23-ejs2130

J. Aston, D. Dehay, A. Dudek, Jean-Marc Freyermuth, Dénes Szűcs, Lincoln J. Colling

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引用次数: 0

摘要

：在本文中，我们开发了用于对局部时间可调和的时空过程的重复实现进行统计推断的工具。我们的方法在现实建模假设下估计了重新缩放的空间时变Loève谱和空间时变双频相干函数。我们使用Circular Block Bootstrap方法为这些感兴趣的参数构建了置信区间，并证明了其一致性。我们在神经心理学实验的数据集上说明了我们的方法论的应用。通过脑电图记录，我们的方法可以研究大脑中与视觉工作记忆表现相关的动态功能连接

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Spectrum inference for replicated spatial locally time-harmonizable time series

: In this paper, we develop tools for statistical inference on repli- cated realizations of spatiotemporal processes that are locally time-harmonizable. Our method estimates both the rescaled spatial time-varying Loève-spectrum and the spatial time-varying dual-frequency coherence function under realistic modeling assumptions. We construct conﬁdence intervals for these parameters of interest using the Circular Block Bootstrap method and prove its consistency. We illustrate the application of our methodology on a dataset arising from an experiment in neuropsychology. From EEG recordings, our method allows studying the dynamic functional connectiv- ity within the brain associated to visual working memory performance

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来源期刊

Electronic Journal of Statistics STATISTICS & PROBABILITY-

CiteScore

1.80

自引率

9.10%

发文量

100

审稿时长

3 months

期刊介绍： The Electronic Journal of Statistics (EJS) publishes research articles and short notes on theoretical, computational and applied statistics. The journal is open access. Articles are refereed and are held to the same standard as articles in other IMS journals. Articles become publicly available shortly after they are accepted.