Top: fraction of BUXS AGN that meet our MIR selection as a function of their intrinsic 2–10 keV luminosity (in logarithmic units). The filled symbols show selection using the three shorter wavelength bands of WISE and the open symbols show selection using the complete four bands. The symbols indicate the mean luminosity of the sources in the bin. Bottom: distributions of 2–10 keV luminosity (in logarithmic units) for the BUXS type 1 and type 2 AGN detected with SNR ≥ 5 in the three shorter wavelength bands of WISE. The luminosity (and redshift) distributions of the BUXS AGN detected in the three shorter wavelength bands of WISE and the complete four bands are consistent with each other.