Diagnostics of the consistency of prensence of signals in the HD 69830 HARPS dataset. Left and right: posterior distribution of τ (defined in Eq. (16)) and f (defined in Eq. (8)) conditioned on the period P being such that |1∕P − 1∕P_i| = 1∕T_obs for i = 1, 2, 3 and P₁ = 8.66 days, P₂ = 31.56 days, and P₃ = 197 days. The i = 1, 2, 3 correspondrespectively to the blue, orange, and green histograms. The black dotted line corresponds to τ = T_obs.