Notes. A tick on a green background signifies that the parameter is fitted, red with a cross symbol shows that the parameter is not fitted, and a circle symbol on yellow means that the parameter is fixed and corrected through an iterative process as presented in Sect. 4.2. is fixed to the MBB best-fit value in the case of β-1, β-T, and β-2 and all the other moments are set to zero when they are not fitted. When is fitted at the same time, the fitting schemes are denoted rMBB, rβ-1, rβ-T, and rβ-2, and they have one more parameter than the number of parameters reported in the first line.