A note about the discretization of finite moment problems

Published under licence by IOP Publishing Ltd
, , Citation G Inglese 1994 Inverse Problems 10 401 DOI 10.1088/0266-5611/10/2/014

0266-5611/10/2/401

Abstract

The process of the reconstruction of a distribution of probability from its moments is very sensitive with respect to the choice of the discretization. Numerical tests suggest that low order splines work well if the nodes are suitably chosen. We try to explain it using the theory of orthogonal polynomials.

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10.1088/0266-5611/10/2/014