Solution to the practical problem of moments using non-classical orthogonal polynomials, with applications for probabilistic analysis-Reference-Cited by-同舟云学术

Solution to the practical problem of moments using non-classical orthogonal polynomials, with applications for probabilistic analysis

Published:2000-10 Issue:4 Volume:15 Page:371-379
ISSN:0266-8920
Container-title:Probabilistic Engineering Mechanics
language:en
Short-container-title:Probabilistic Engineering Mechanics

Author:

Kennedy C.A,Lennox W.C

Publisher

Elsevier BV

Subject

Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Condensed Matter Physics,Nuclear Energy and Engineering,Civil and Structural Engineering,Statistical and Nonlinear Physics

Reference48 articles.

1. An algorithm for finding the distribution of maximum entropy;Agmon;J Comput Phys,1979

2. Edgeworth and saddlepoint approximations with statistical applications;Barndorff-Nielsen;J R Statist Soc Ser B,1979

3. The conditions under which the Gram–Charlier and Edgeworth curves are positive definite and unimodal;Barton;Biometrika,1952

4. Orthogonal polynomials for engineers and physicists;Beckmann,1973

5. Edgeworth's contributions to mathematical statistics;Bowley,1928

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