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Table B.1.

Summary of the flat prior bounds used for the parameters of our population model.

Functional form Parameter Prior range Units
Luminosity function
Schechter function Lmin 5 × 1049 erg s−1
L* [1052–1056] erg s−1
Slope [0.3–3]
kevol [0, 0.5, 1, 2] or [−3 to 5]

Redshift distribution
Broken exponential a [−3 to 3]
b [−3 to 3]
zm [0–10]

Peak energy distribution
Log-normal Ep0 [101–104] keV
σEp 0.45
Intrinsic correlation Ep0 [101–104] keV
σEp [0–1.5]
αA [−1 to 1.5]

Notes. Lmin and σEp were fixed during the parameter exploration and thus have no bounds.

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