Resulting 43374 samples obtained by Diamonds  by using Approach 2 applied to the PSD of KIC 9139163 in the frequency range 1280 − 2090 μHz, covering nine radial orders. Upper panel: distribution of the sampling points for the amplitude of dipole peaks, A₁ and the corresponding frequency position, ν₁. The islands marked in light blue represent the true positions of the dipole peaks, while those in gray are relative to the positions of the blended quadrupole-radial peaks, which are ignored. The red circles represent the mean Bayesian estimates derived from the MPDs of the light blue islands, while yellow triangles show the corresponding sampling average positions in both coordinates and are not related to the MPDs. Lower panel: corresponding histogram density along the direction of ν₁, showing the number of counts occurring in each island.