Theoretical asymptotic Gaussian probability density functions of the estimators of ζ and AoLP (blue lines, in log) superposed to the estimated probability density functions of the estimators using the parametric bootstrap (red line, in log). The top line corresponds to ζ, the bottom line to the AoLP. The left column is calculated at time 21.37 min for a parameter S/N = 9.4. The right column is calculated at time 25.82 min for a parameter S/N = 1.54. This clearly confirms that convergence of the estimators to a Gaussian whose theoretical parameters are calculated in the paper is relevant only for high values of S/N, typically greater than 4 or 5, and that for very low S/N the estimated AoLP is almost not meaningful.