Fig 2. Schematic demonstrating the experimental procedure to obtain the observed moments.

Ideally, we want to observe the “true” moments, however this is not possible due to the observation process. In order to understand the effect of the observation noise on the moments, we simulate the system, add noise consistent with the experimental system, and evaluate the relationship between the “true” and “observed” moments of these simulations. We can thus infer the “true” moments of the system, given our “observed” moments.