Skip-sampling: subsampling in the frequency domain

Abstract: 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, etc.; subsampling for time series is also available, and is closely related to the block-bootstrap.Frequency-domain' bootstrap has been performed either by resampling the periodogram ordinates or by resampling the ordinates of the Discrete Fourier Transform (DFT). The paper at hand proposes a novel construction of subsampling the DFT ordinates, and investigates its theoretical properties and realm of applicability.