A Measure which is Singular and Uniformly Locally Uniform

DOI10.2307/2048284zbMath0701.28004OpenAlexW4230571235MaRDI QIDQ3478649

David Freedman, Jim W. Pitman

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2048284

zbMATH Keywords

asymptotic normalitysingular measureposterior distributionsdifferentiationLebesgue pointsBayes estimatesRiesz productslocally uniform measure

Mathematics Subject Classification ID

Bayesian inference (62F15) Lacunary series of trigonometric and other functions; Riesz products (42A55) Classical measure theory (28A99)

Cites Work

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• Asymptotic methods in statistical decision theory
• On the uniform consistency of Bayes estimates for multinomial probabilities
• On equivalence of infinite product measures
• Coin tossing and powers of singular measures
• Singular infinitely divisible distributions whose characteristic functions vanish at infinity
• On Lacunary Trigonometric Series

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