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Empirical Frequency Band Analysis of Nonstationary Time Series

非平稳时间序列的经验频带分析

The time-varying power spectrum of a time series process is a bivariate function that quantifies the magnitude of oscillations at different frequencies and times. To obtain low-dimensional, parsimonious measures from this functional parameter, applied researchers consider collapsed measures of power within local bands that partition the frequency space. Frequency bands commonly used in the scientific literature were historically derived, but they are not guaranteed to be…

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Variable Selection for Skewed Model-Based Clustering: Application to the Identification of Novel Sleep Phenotypes

偏态模型聚类的变量选择:识别新的睡眠表型

In sleep research, applying finite mixture models to sleep characteristics captured 8 through multiple data types, including self-reported sleep diary, a wrist monitor capturing movement (actigraphy), and brain waves (polysomnography), may suggest new phenotypes that reflect underlying disease mechanisms. However, a direct mixture model application is challenging because there are many sleep variables from which to choose, and sleep variables are often highly skewed even in…

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Conditional Spectral Analysis of Replicated Multiple Time Series With Application to Nocturnal Physiology

重复观测多元时间序列的条件谱分析:夜间生理应用

This article considers the problem of analyzing associations between power spectra of multiple time series and cross-sectional outcomes when data are observed from multiple subjects. The motivating application comes from sleep medicine, where researchers are able to non-invasively record physiological time series signals during sleep. The frequency patterns of these signals, which can be quantified through the power spectrum, contain interpretable information about…

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