Comparison of the FLAM and PLAM with estimates of the localization error according to Thompson et. al. []. The PLAM for the Airy pixelated profile (○) and estimates of the localization error given by [] (⊗) are plotted as a function of pixel size. For comparison, the FLAM (⨀) and the corresponding localization error estimate by Thompson et. al. for the ideal case (×), calculated as

are also plotted. For each pixel size, a set of 1000 single molecule images were generated using the Airy pixelated profile. The standard deviation, calculated independently for each pixel size, of the single molecule location coordinate estimates from each image obtained using both the nonlinear least squares (◊) and maximum likelihood (*) estimators are also shown. The numerical values used in the calculations are as follows. Pixel array size: closest match to 169

*μm* × 169

*μm* total detector area, magnification

*M* = 100, expected number of photons from the single molecule: 500 photons. The single molecule image was centered within the detector area. The mean of the background noise component is set to zero. For the Airy profile, wavelength

*λ* = 520

*nm*, and numerical aperture

*n*_{a} = 1.3. For the calculations of the localization error based on ,

*s* is calculated as 1323

*λ*/2

*πn*_{a} = 84.225

*nm, N* = 500 (expected number of photons from the single molecule), and

*a* is obtained by dividing the pixel size by the magnification.

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