Hausdorff moment problem and fractional moments: a simplified procedure

DOI10.1016/j.amc.2011.10.019zbMath1244.44003OpenAlexW2060929779MaRDI QIDQ426991

Aldo Tagliani

Publication date: 13 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.10.019

zbMATH Keywords

inverse Laplace transformHankel matrixmaximum entropyHausdorff moment problemmoments spacefractional moment

Mathematics Subject Classification ID

Laplace transform (44A10) Moment problems (44A60)

Related Items (7)

High Order Moment Model for Polydisperse Evaporating Sprays towards Interfacial Geometry Description ⋮ Hausdorff moment problem: recovery of an unknown support for a probability density function ⋮ A note on recovering the distributions from exponential moments ⋮ Approximation of the ruin probability using the scaled Laplace transform inversion ⋮ On the moment-recovered approximations of regression and derivative functions with applications ⋮ Recovery of functions from transformed moments: A unified approach ⋮ Reliability computation via a transformed mixed-degree cubature rule and maximum entropy

Cites Work

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• Asymptotics for Christoffel functions for general measures on the real line
• Spectral properties of Hankel matrices and numerical solutions of finite moment problems
• Lyapunov exponents and the natural invariant density determination of chaotic maps: an iterative maximum entropy ansatz
• Recovering a function from a finite number of moments
• Maximum Entropy Density Estimation from Fractional Moments
• Geometry of moment spaces

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