Inverted rotation profiles for the 100 perturbed models of HD 52265  (blue curves, very close to the red curve) with one realisation of the rotational splitting noise. The top panel shows the inversion results for solid body rotation, the middle panel for a step function profile, and the bottom panel for the smooth profile (all shown in solid black curves). The inverted reference rotation profile (using the reference kernels for the forward and inverse problem) is shown in red, and the standard deviation (Eq. (4)) are the dashed red curves.