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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 16.

Panel (a): whitened log-periodogram ﹩\mathrm{log}{{ \mathcal S }}^{{\prime} w}(f)﹩ and FALs for a time series drawn from the AR(1) process shown in Figure 15 (ϕ = 0.77, σw = 1). Error bars are σn = 0.5. Panel (b): same as panel (a) but with σn = 3. Panel (c): whitened log-periodogram and FALs for a time series for which the error bars are overestimated. The dataset ﹩x{{\prime} }_{n}﹩ has true σn = 0.5, but FALs are calculated using σn = 2.

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