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Table 1

Source sample properties and comparison of measured IDCs with Bayesian estimates and Monte Carlo simulations.

Source Orbital Observation IDCa Bayesian method Monte Carlo simulations
period N Type confidence intervals b c Sad
(d) (%) 68.3% 95.4% 99.7% (%)

IGR J084084503 77 Y 67.2 61.5–72.1 55.8–76.8 50.1–81.2 67.3 ± 5.6 40
IGR J163284726 10.076 94 Y 61.0 55.8–65.8 50.7–70.4 45.5–74.8 61.0 ± 5.6 40
IGR J164654507 30.243 61 Y 5.1 3.5–9.5 1.8–13.9 0.8–19.2 5.2 ± 2.9 40
IGR J164794514 3.3193 139 Y 19.4 16.5–23.2 13.6–26.9 11.0–30.9 19.4 ± 3.6 80
XTE J1739302 51.47 181 Y 38.8 35.3–42.5 31.9–46.2 28.5–49.9 39.0 ± 4.7 70
IGR J175442619 4.926 138 Y 54.5 50.2–58.6 46.0–62.7 41.8–66.7 54.5 ± 5.3 50
AX J1841.00536 87 Y 28.4 24.1–33.7 19.8–38.9 16.0–44.2 28.5 ± 5.6 40
IGR J164184532 3.73886 15 O 11.0 7.2–24.1 3.0–36.1 0.9–49.1 11.3 ± 8.0
IGR J173543255 8.448 22 O 33.4 25.1–44.5 17.2–54.9 11.0–64.8 33.3 ± 10.4
IGR J184830311 18.545 23 O 26.6 19.5–37.5 12.7–47.6 7.6–57.8 26.7 ± 9.4

Notes.

(a)

From Eq. (2) (see Romano et al. 2014, and references therein).

(b)

Theoretical confidence intervals of IDC (Sect. 2, Eq. (7)).

(c)

Simulated sample mean and standard variance (Sect. 3, M = 104 data sets drawn from the observed sample of size N).

(d)

Minimum number of observations required for an IDC with the desired accuracy (Sect. 3.1, M = 104 data sets, drawn from a sample of size S = 10,20,30,...,N).

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