On The Uncertainty Relation for Positive-Definite Probability Densities, II

DOI10.1080/02331889908802694zbMath0947.60011OpenAlexW1995105084MaRDI QIDQ4943278

Donald St. P. Richards, Werner Ehm, Tilmann Gneiting

Publication date: 11 May 2000

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331889908802694

zbMATH Keywords

mixtureFourier transformcharacteristic functionuncertainty principlepositive-definiteconvolution rootLaue's constantadjoint density

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Probability distributions: general theory (60E05) Positive definite functions in one variable harmonic analysis (42A82)

Cites Work

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• The uncertainty principle: A mathematical survey
• Compactly supported positive definite radial functions
• On the uncertainty principle for positive definite densities
• Positive Definite Probability Densities
• Normal Variance-Mean Mixtures and z Distributions
• An uncertainty inequality involving $L^1$ norms
• Normal scale mixtures and dual probability densities

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