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Indeterminate Hamburger moment problem: entropy convergence

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Publication:6580285
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DOI10.1016/J.SPL.2024.110155zbMATH Open1543.6002MaRDI QIDQ6580285

Pierluigi Novi Inverardi, Aldo Tagliani, Mariyan Milev

Publication date: 29 July 2024

Published in: Statistics \& Probability Letters (Search for Journal in Brave)




zbMATH Keywords

momentsHankel matrixmaximum entropyHamburger moment problementropy convergence


Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Moment problems and interpolation problems in the complex plane (30E05) Moment problems (44A60)


Cites Work

  • Title not available (Why is that?)
  • Entropy convergence of finite moment approximations in Hamburger and Stieltjes problems
  • A proof of the generalized second limittheorem in the theory of probability.
  • Krein condition and the Hilbert transform
  • Density questions in the classical theory of moments
  • A maximum entropy approach to the classical moment problem
  • Information Theory and Statistical Mechanics
  • Stieltjes classes for moment-indeterminate probability distributions
  • The Moment Problem
  • Elements of Information Theory







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