Posterior distributions for the model parameters of a sample of five coronal loops. They display the state of knowledge for all physical parameters of all loops when the observations are taken into account. Shown are the inferred Alfvén travel time (first row), density contrast (second row), length scale (third row), standard deviation of the background (fourth row), derived oscillation period (fifth row), and damping time (sixth row). The last row shows the original oscillation corrected for the trend (black curve) and the best fit (red curve). The black error bars are those associated with σ_n, while the red error bars are obtained using .