Table A2.

The parameter space for significant detection of the period of the MF and HF QPO signals mixed with red noise of unbroken PL model on using the PDM tested for evenly sampled light curves in Section 4.

Parameter space for significant detection on using the PDM
Centroid frequencyTrue positivesType II errorError 3
fL (10−7 Hz)
8.0 (MF QPO)log(Prat) ∼ 5/4 at β ≲ 2.4/1.8 (⁠|$99\,\rm{per\,cent}$|⁠)log(Prat) ∼ 5/4 at β ≲ 2.4/2.0 (⁠|$\lesssim 0.3 \,\rm{per\,cent}$|⁠)log(Prat) ∼ 5/4 at β ≲ 2.6 (⁠|$\lesssim 1\,\rm{per\,cent}$|⁠)
32.0 (HF QPO)log(Prat) ∼ 5/4/3 at β ≲ 2.0/1.6/1.0 (⁠|$99.7\,\rm{per\,cent}$|⁠)log(Prat) ∼ 5/4/3 at β ≲ 2.0/1.6/1.0 (⁠|$\lesssim 0.3\,\rm{per\,cent}$|⁠)log(Prat) ∼ 5/4 at β ≲ 2.6(⁠|$\lesssim 1\,\rm{per\,cent}$|⁠)
Parameter space for significant detection on using the PDM
Centroid frequencyTrue positivesType II errorError 3
fL (10−7 Hz)
8.0 (MF QPO)log(Prat) ∼ 5/4 at β ≲ 2.4/1.8 (⁠|$99\,\rm{per\,cent}$|⁠)log(Prat) ∼ 5/4 at β ≲ 2.4/2.0 (⁠|$\lesssim 0.3 \,\rm{per\,cent}$|⁠)log(Prat) ∼ 5/4 at β ≲ 2.6 (⁠|$\lesssim 1\,\rm{per\,cent}$|⁠)
32.0 (HF QPO)log(Prat) ∼ 5/4/3 at β ≲ 2.0/1.6/1.0 (⁠|$99.7\,\rm{per\,cent}$|⁠)log(Prat) ∼ 5/4/3 at β ≲ 2.0/1.6/1.0 (⁠|$\lesssim 0.3\,\rm{per\,cent}$|⁠)log(Prat) ∼ 5/4 at β ≲ 2.6(⁠|$\lesssim 1\,\rm{per\,cent}$|⁠)
Table A2.

The parameter space for significant detection of the period of the MF and HF QPO signals mixed with red noise of unbroken PL model on using the PDM tested for evenly sampled light curves in Section 4.

Parameter space for significant detection on using the PDM
Centroid frequencyTrue positivesType II errorError 3
fL (10−7 Hz)
8.0 (MF QPO)log(Prat) ∼ 5/4 at β ≲ 2.4/1.8 (⁠|$99\,\rm{per\,cent}$|⁠)log(Prat) ∼ 5/4 at β ≲ 2.4/2.0 (⁠|$\lesssim 0.3 \,\rm{per\,cent}$|⁠)log(Prat) ∼ 5/4 at β ≲ 2.6 (⁠|$\lesssim 1\,\rm{per\,cent}$|⁠)
32.0 (HF QPO)log(Prat) ∼ 5/4/3 at β ≲ 2.0/1.6/1.0 (⁠|$99.7\,\rm{per\,cent}$|⁠)log(Prat) ∼ 5/4/3 at β ≲ 2.0/1.6/1.0 (⁠|$\lesssim 0.3\,\rm{per\,cent}$|⁠)log(Prat) ∼ 5/4 at β ≲ 2.6(⁠|$\lesssim 1\,\rm{per\,cent}$|⁠)
Parameter space for significant detection on using the PDM
Centroid frequencyTrue positivesType II errorError 3
fL (10−7 Hz)
8.0 (MF QPO)log(Prat) ∼ 5/4 at β ≲ 2.4/1.8 (⁠|$99\,\rm{per\,cent}$|⁠)log(Prat) ∼ 5/4 at β ≲ 2.4/2.0 (⁠|$\lesssim 0.3 \,\rm{per\,cent}$|⁠)log(Prat) ∼ 5/4 at β ≲ 2.6 (⁠|$\lesssim 1\,\rm{per\,cent}$|⁠)
32.0 (HF QPO)log(Prat) ∼ 5/4/3 at β ≲ 2.0/1.6/1.0 (⁠|$99.7\,\rm{per\,cent}$|⁠)log(Prat) ∼ 5/4/3 at β ≲ 2.0/1.6/1.0 (⁠|$\lesssim 0.3\,\rm{per\,cent}$|⁠)log(Prat) ∼ 5/4 at β ≲ 2.6(⁠|$\lesssim 1\,\rm{per\,cent}$|⁠)
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