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

DOI10.1080/03610920701499514zbMath1136.62009OpenAlexW1975056058MaRDI QIDQ5457988

P. N. Gavriliadis

Publication date: 10 April 2008

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920701499514

zbMATH Keywords

momentsdistribution functions

Mathematics Subject Classification ID

Foundations and philosophical topics in statistics (62A01) Probability distributions: general theory (60E05) Moment problems (44A60)

Related Items (8)

Inference Problems Involving Moment Determinacy of Distributions ⋮ Entropy and density approximation from Laplace transforms ⋮ Hausdorff moment problem: recovery of an unknown support for a probability density function ⋮ Basis risk management and randomly scaled uncertainty ⋮ Moment information and entropy evaluation for probability densities ⋮ The truncated Stieltjes moment problem solved by using kernel density functions ⋮ An iterative algorithm to bound partial moments ⋮ Moment information for probability distributions, without solving the moment problem. II: Main-mass, tails and shape approximation

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• Advanced determinant calculus: a complement
• Remarks on converse Carleman and Krein criteria for the classical moment problem
• The Mean, Median, and Mode of Unimodal Distributions:A Characterization
• Bounds on the Tail Probability and Absolute Difference Between Two Distributions
• The Moment Problem for Unimodal Distributions

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