It should also be noted that for a Gaussian distribution, more points should not change the expectation value and the variance would reduce with the inverse square root of the number of points included. On the other hand, for an asymmetric distribution the more points one includes the more reliable are both the mean and the variance. The variance for non-normal distributions usually converges far more slowly, so the fluctuations persist for much longer. This further supports the importance of performing ensemble simulations for MD-based methods and highlights that a small number of repeats is not sufficient.