Fig. 5.

Airy profile results for a different single molecule location: difference d(x₀) between the median of the x₀ estimates and the true value x₀ (left-hand side plots), and percentage difference δ(x₀) between the standard deviation (with respect to the median) of the x₀ estimates and the PLAM for x₀ (right-hand side plots), as functions of the PIF used to integrate the image profile during estimation. For each scenario of Table 1, results are shown for a 63× (cyan ⋄) and a 100× (red ○) data set, simulated at profile PIF = 13 using the Airy with parameters given in Section 4, except the molecule is placed at 5.5 pixels in both the x and y directions within the 11×11 image array. Each data set is fitted with an Airy profile by an ML estimator, with PIF values ranging from 0 to 13. In all plots the horizontal line denotes 0, and the inset shows the results for PIF ≥ 3.