X-ray luminosity function from the XXL-1000-AGN sample. The upper panels show the marginalised posterior distribution of the parameters in luminosity dependent density evolution (LDDE) model. The bottom panels show the estimated XLF as a function of luminosity in four redshift bins. The black solid line shows the mode of the distribution and the grey shaded area encloses the 90% credible interval. The dotted black line is our estimated z = 0 XLF shown for reference in all plots. The black points are estimated using the 1 /V_max method in good agreement with our modelling. The numbers above the points show the number of objects per bin. They also show the parameter space occupied by the XXL-1000-AGN sample. The orange area and dashed lines show 2−10 keV XLF estimates from the literature (orange: Buchner et al. 2015; green: Miyaji et al. 2015; red: Aird et al. 2015; blue: Ueda et al. 2014).