Skip sampling: subsampling in the frequency domain

• 成果类型: Article
• 署名作者: McElroy, Tucker; Politis, Dimitris N.
• 署名单位: University of California System; University of California San Diego
• 刊物名称: BIOMETRIKA
• ISSN/ISSBN: 0006-3444
• DOI: 10.1093/biomet/asae039
• 发表日期: 2024
• 页码: 12411256
• 关键词: bootstrap methods; time-series

摘要

Over the last 35 years, several bootstrap methods for time series have been proposed. Popular time domain methods include the block bootstrap, the stationary bootstrap, the linear process bootstrap, among others; subsampling for time series is also available, and is closely related to the block bootstrap. The frequency domain bootstrap has been performed either by resampling the periodogram ordinates or by resampling the ordinates of the discrete Fourier transform. The paper at hand proposes a novel construction of subsampling the discrete Fourier transform ordinates, and investigates its theoretical properties and realm of applicability. Numerical studies show that the new method performs comparably to the frequency domain bootstrap for linear spectral means and ratio statistics, while at the same time yielding significant computational savings as well as numerical stability. Some key words: Discrete Fourier transform; Spectral density, Time series.