Table B.1.

Proof of concept of our novel fitting method: Comparison of our best-fit BWsim parameters for Her X-1 and the ones found by Wolff et al. (2016). As discussed in Sect. 3, for the new approach the “uncertainties” have lost their strict meaning of confidence interval. They illustrate, however, that close to the chi-square minimum the distortion of the confidence intervals is small. The plot of the two models and the corresponding residuals are shown in Fig. B.1.

Parameter	New approach	Wolff et al. (2016)
NH [1022 cm−2]	† 1.7	† 1.7
Ṁ [1017 g s−1]		† 2.5935
kTe [keV]
r0 [m]
B [1012 G]	§ 4.16	§ 4.25
ξ		‡ 1.355
δ		‡ 2.38
ECRSF [keV]
σCRSF [keV]	6.7 ± 0.4
DCRSF [keV]
AFeKαb [phs/cm2/s]
EFeKαb [keV]
σ(FeKαb [keV]	0.25 ± 0.04
A(FeKαb [phs/cm2/s]	0.0045 ± 0.0006
EFeKαb [keV]
σFeKαb [keV]
	1.20/310	1.63/310