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Red Noise–based False Alarm Thresholds for Astrophysical Periodograms via Whittle’s Approximation to the Likelihood

  • Authors: Amna Ejaz, Sarah Dodson-Robinson, Charlotte Haley

Amna Ejaz et al 2026 The Astronomical Journal 171 .

  • Provider: AAS Journals

Caption: Figure 1.

GLS periodogram ﹩{\hat{S}}^{LS}({f}_{k})﹩ (green) of activity indicator ﹩\mathrm{log}R{{\prime} }_{\mathrm{HK}}﹩ of α Cen B (X. Dumusque et al. 2012) with a red noise background. The vertical navy dotted line is the rotation signal, the horizontal black dashed–dotted line is a white noise fit to the spectrum, and the purple solid line and red dotted line are the best-fit versions of two red noise models, AR(1) and a power law (see Section 2 for a detailed description of the red noise models used in this work).

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