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. 2011 Apr 29;2(5):1377–1393. doi: 10.1364/BOE.2.001377

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©2011 Optical Society of America

This is an open-access article distributed under the terms of the Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 Unported License, which permits download and redistribution, provided that the original work is properly cited. This license restricts the article from being modified or used commercially.

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Fig. 4 — Performance of the precision estimate. (a) A comparison between the precision predicted from the CRLB and from the modified Fisher information matrix. A series of simulated images of two emitters at varoius separations between their centers were generated. MFA was performed on these images and the precision estimates calculated by the modified Fisher information matrices (F(θ) Estimated Std. Dev.) were compared with that obtained from the CRLB (Estimated Uncertainty CRLB), precisions obtained from the CRLB generated by emitter’s true position (Theoretical Uncertainty CRLB), and the observed standard deviation of the estimates (Observed Std. Dev.). (b) The CDF (integral of histogram) of the uncertainty estimator accuracy obtained using the modified Fisher information matrices for random placements of multiple emitters.