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timescales, the distribution departs from the exponential due to the bursts of  photons from diffusing single-molecules. To estimate the background  rate, (i.e. the exponential time constant) we need to select a minimal  timestamp delay threshold, above which the distribution can be considered exponential. We also need to chose choose  a fitting method, for example the Maximum Likelihood Estimation (MLE) or a curve fit of the histogram via non-linear  least squares (NLSQ).