Fourier-Legendre approximation of a probability density from discrete data

  • Authors:
  • Gabriele Inglese

  • Affiliations:
  • CNR IAC, Via S. Marta 13, Firenze, I-50139, Italy

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2003

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Abstract

We produce a positive approximation of a probability density in [0,1] when only a finite number of values (possibly affected by noise) is available. This approximation is obtained by computing a number of Legendre-Fourier coefficients and applying the Maximum Entropy method. An example of application of this procedure is data-smoothing in the numerical solution of an identification problem for Fokker-Planck equation.