Alberto Bernacchia

  1. Self-consistent method for density estimation.

    Authors: Alberto Bernacchia, Simone Pigolotti
    Subjects: Methodology
    Abstract

    The estimation of a density profile from experimental data points is a
    challenging problem, usually tackled by plotting a histogram. Prior assumptions
    on the nature of the density, from its smoothness to the specification of its
    form, allow the design of accurate estimation procedures, such as Maximum
    Likelihood. Our aim is to construct a procedure that makes the smallest
    possible number of assumptions, but still providing an accurate estimate of the
    density.

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