The statistical information contained in additional observations

DOI10.1214/aos/1176349945zbMath0633.62006OpenAlexW2054159966MaRDI QIDQ1096265

Enno Mammen

Publication date: 1986

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176349945

zbMATH Keywords

Bayes risksdeficiencypseudo-distanceadditional observationsgain of informationasymptotically Gaussian experimentsbinomial familyconstistent estimateshomoscedastic Gaussian experimentinsufficiencyLeCam's randomization criterionpowers of an experiment

Mathematics Subject Classification ID

Theory of statistical experiments (62B15) Statistical aspects of information-theoretic topics (62B10)

Related Items (7)

Asymptotic equivalence of spectral density estimation and Gaussian white noise ⋮ Asymptotic equivalence of density estimation and Gaussian white noise ⋮ Global sufficiency of extreme order statistics in location models of Weibull type ⋮ A complement to Le Cam's theorem ⋮ The Le Cam distance between density estimation, Poisson processes and Gaussian white noise ⋮ Distributional divergence, statistical experiments and consequences in option pricing ⋮ The deficiency introduced by resampling

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