Entropy estimate of probability densities having assigned moments: Hausdorff case

DOI10.1016/S0893-9659(01)00136-7zbMath1010.60012MaRDI QIDQ1861761

Aldo Tagliani

Publication date: 10 March 2003

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

entropymoment problemHankel matrixconvex hull

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10) Moment problems (44A60) Measures of information, entropy (94A17) Statistical aspects of information-theoretic topics (62B10)

Related Items (6)

Entropy and density approximation from Laplace transforms ⋮ Moment information and entropy evaluation for probability densities ⋮ A note on proximity of distributions in terms of coinciding moments. ⋮ On the truncated Hausdorff moment problem under Sobolev regularity conditions ⋮ On generalization in moment-based domain adaptation ⋮ Entropy estimate of probability densities having assigned moments: Stieltjes case

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
• Convergence of Best Entropy Estimates
• On some inequalities for entropies of discrete probability distributions
• Geometry of moment spaces

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