Cumulative XLF of XRBs for M83: observations (red stars) and Model 1 (top panel), Model 2 (middle panel), and Model 3 (bottom panel). On the vertical axis is shown the number of XRBs that have a luminosity, L_X, higher than the corresponding L_X value on the horizontal axis. The models are plotted with solid black lines (all XRBs) and subdivided into four subcategories shown with dashed lines: HMXBs (magenta), IMBXs (blue), persistent LMXBs (cyan), outbursting transient LMXBs (green) in Model 1, or randomly selected 30 LMXBs (green) in Models 2 and 3. Model 2 is consistent with the observations in terms of the total number of XRBs and the shape of the XLF. Model 3 is close to the observations in terms of the total number of XRBs but the slope of XLF is shallower in the range log L_X ∼ 36.6 − 38.6 erg s⁻¹ than in Models 1 and 2.