On the proximity of distributions in terms of coinciding fractional moments.

DOI10.1016/S0096-3003(02)00510-6zbMath1038.62008MaRDI QIDQ1412465

Aldo Tagliani

Publication date: 25 November 2003

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

zbMATH Keywords

moment problemHankel matrixmaximum entropyStieltjesfractional momentsLévy distancecloseness of probability measuresdistribution recovering

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Inequalities; stochastic orderings (60E15) Characterization and structure theory of statistical distributions (62E10) Approximations to statistical distributions (nonasymptotic) (62E17) Convergence of probability measures (60B10) Statistical aspects of information-theoretic topics (62B10)

Related Items (1)

Moment Information for Probability Distributions, Without Solving the Moment Problem. I: Where is the Mode?

Cites Work

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• Entropy-convergence in Stieltjes and Hamburger moment problem
• The classical moment problem as a self-adjoint finite difference operator
• Bounds on the Tail Probability and Absolute Difference Between Two Distributions
• On the Reduced Moment Problem

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