Abstract
We present two statistical analytical approaches to estimate the particle size distribution of magnetic nanoparticles. They are termed best linear unbiased estimator and linear minimum mean square error estimator. These approaches are implemented and quantified within the formalism of linear unbiased estimation theory. To illustrate the efficiency of the proposed approaches, we give two examples of the application to the particle size distribution analysis in ferrofluids with normal and lognormal samples. In both cases we compare the reconstruction distributions using our methods with those calculated via the electron microscopy images of the ferrofluid particles.
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