Geodesic
Distribution Characterization in a Practical Moment Problem
Acta mathematica Universitatis Comenianae, Tome 73 (2004) no. 1 
H. C. Jimbo. Distribution Characterization in a Practical Moment Problem. Acta mathematica Universitatis Comenianae, Tome 73 (2004) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2004_73_1_a9/
@article{AMUC_2004_73_1_a9,
     author = {H. C. Jimbo},
     title = {Distribution {Characterization} in a {Practical} {Moment} {Problem}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2004},
     volume = {73},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2004_73_1_a9/}
}
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Voir la notice de l'article provenant de la source Comenius University

We investigate a problem connected with the evaluation of the asymptotic probability distribution function (APDFs) given from a set of finite order moments by applying the Gram-Schmidt process with the aid of computer algebra. By selecting weighting (discrete or continuous) function of similar shape to desired (APDFs), orthogonal polynomial series are obtained that are stable at high order and allow accurate approximation of tail probabilities.