Numerical aspects of finite Hausdorff moment problem by maximum entropy approach

DOI10.1016/S0096-3003(99)00210-6zbMath1024.65128MaRDI QIDQ5931702

Aldo Tagliani

Publication date: 25 April 2001

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

zbMATH Keywords

stabilityHankel matrixmaximum entropycondditioning numberdeterminantHausdorff moment problemmoments space

Mathematics Subject Classification ID

Numerical methods for integral transforms (65R10) Moment problems (44A60)

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Cites Work

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• I-divergence geometry of probability distributions and minimization problems
• How bad are Hankel matrices?
• Hausdorff moment problem and maximum entropy: A unified approach
• Spectral properties of Hankel matrices and numerical solutions of finite moment problems
• Recovering a function from a finite number of moments
• Convergence of Best Entropy Estimates
• The condition of gram matrices and related problems
• A note about minimum relative entropy solutions of finite moment problems
• The Condition of Orthogonal Polynomials
• Geometry of moment spaces