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Table 2.

Median values of the parameter posterior distributions and reduced χ2 values for each model applied to the three observational data sets.

Model Constraints μ (log/ cm−2) σ (log/ cm−2) R0a α R1a χ2/d.o.f.
Simple torus CXB 24.43 0.01 + 0.01 $ {_{-0.01}^{+0.01}} $ 0.31 0.02 + 0.01 $ {_{-0.02}^{+0.01}} $ 0.24 0.01 + 0.01 $ {_{-0.01}^{+0.01}} $ 226/84
Simple torus Absorption 23.27 0.01 + 0.01 $ {_{-0.01}^{+0.01}} $ 0.10 0.03 + 0.01 $ {_{-0.03}^{+0.01}} $ - - 0.98 0.05 + 0.03 $ {_{-0.05}^{+0.03}} $ 742/22
LD torus Absorption 23.77 0.07 + 0.08 $ {_{-0.07}^{+0.08}} $ 1.06 0.09 + 0.08 $ {_{-0.09}^{+0.08}} $ 0.37 0.01 + 0.02 $ {_{-0.01}^{+0.02}} $ 0.41 0.02 + 0.01 $ {_{-0.02}^{+0.01}} $ 122/21
LD torus Combined 24.24 0.02 + 0.03 $ {_{-0.02}^{+0.03}} $ 0.68 0.01 + 0.02 $ {_{-0.01}^{+0.02}} $ 0.21 0.01 + 0.01 $ {_{-0.01}^{+0.01}} $ 0.22 0.01 + 0.01 $ {_{-0.01}^{+0.01}} $ 1231/109
LD+AD Combined 23.56 0.04 + 0.05 $ {_{-0.04}^{+0.05}} $ 0.98 0.11 + 0.09 $ {_{-0.11}^{+0.09}} $ 0.93 0.03 + 0.04 $ {_{-0.03}^{+0.04}} $ 0.24 0.01 + 0.01 $ {_{-0.01}^{+0.01}} $ 804/109
LD+AD+ECb Combined 23.56 0.04 + 0.05 $ {_{-0.04}^{+0.05}} $ 0.98 0.11 + 0.09 $ {_{-0.11}^{+0.09}} $ 0.93 0.03 + 0.04 $ {_{-0.03}^{+0.04}} $ 0.24 0.01 + 0.01 $ {_{-0.01}^{+0.01}} $ 540/109

Notes.

a

Arbitrary units for models without AD and measured in parsec for the AD model.

b

The same parameter set as before, but with a fixed high energy cut-off of EC = 300 keV (see Sect. 4.4 for more information).

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