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Stein's paradox is impossible in problems with finite sample space

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Publication:797231
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DOI10.1214/aos/1176345893zbMath0545.62009OpenAlexW2015078372MaRDI QIDQ797231

Sam Gutmann

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1214/aos/1176345893


zbMATH Keywords

finite sample spaceStein's paradox


Mathematics Subject Classification ID

Admissibility in statistical decision theory (62C15)


Related Items (10)

Optimal shrinkage estimation of mean parameters in family of distributions with quadratic variance ⋮ On the small sample properties of norm-restricted maximum likelihood estimators for logistic regression models ⋮ Some limitation on stein's phenomenon ⋮ An empirical bayes estimate of multinomial probabilities ⋮ Simultaneous estimation of the hardy-weinberg proportions ⋮ The philosophical significance of Stein's paradox ⋮ On independent statistical decision problems and products of diffusions ⋮ Admissibility of MLE for simultaneous estimation in negative binomial problems ⋮ The Stein effect for Fréchet means ⋮ Admissible estimation, Dirichlet principles and recurrence of birth-death chains on \({\mathbb{Z}}^ p_+\)




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