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A simple test forperiodic signals inred noise S. Vaughan2005 год

A simple test for periodic signals in red noise
статья из журнала

Полный текстСтраница публикацииПубликация в OpenAlex
Аннотация: We demonstrate a simple method for testing the significance of peaks in the periodogram of red noise data. The procedure was designed to test for spurious periodicities in X-ray light curves of active galaxies, but can be used quite generally to test for periodic components against a background noise spectrum assumed to have a power law shape. The method provides a simple and fast test of the significance of candidate periodic signals in short, well-sampled time series such as those obtained from XMM-Newton observations of Seyfert galaxies, without the need for Monte Carlo simulations. A full account is made of the number of trials and the uncertainties inherent to the model fitting. Ignoring these subtle effects can lead to substantially overestimated significances. These difficulties motivate us to demand high standards of detection (minimum >99.9 per cent confidence) for periodicities in sources that normally show red noise spectra. The method also provides a simple means to estimate the power spectral index, which may be an interesting parameter itself, regardless of the presence/absence of periodicities.
Год издания: 2005
Авторы: S. Vaughan
Издательство: EDP Sciences
Источник: Astronomy and Astrophysics
Ключевые слова: Tree-ring climate responses, Plant Water Relations and Carbon Dynamics, Statistical and numerical algorithms
Другие ссылки: Astronomy and Astrophysics (PDF)
Astronomy and Astrophysics (HTML)
INDIGO (University of Illinois at Chicago) (PDF)
INDIGO (University of Illinois at Chicago) (HTML)
Leicester Research Archive (University of Leicester) (PDF)
Leicester Research Archive (University of Leicester) (HTML)
Springer Link (Chiba Institute of Technology) (HTML)
Leicester Research Archive (University of Leicester) (PDF)
Leicester Research Archive (University of Leicester) (HTML)
DataCite API (HTML)