Admissibility in finite problems

DOI10.1214/AOS/1176345524zbMath0472.62013OpenAlexW2080219578MaRDI QIDQ1157849

Malay Ghosh, Glen Meeden

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1214/aos/1176345524

zbMATH Keywords

squared error lossdiscrete uniformBayes rulesadmissible consistencyexpectation consistencyinverse probability distributionssingular priors

Mathematics Subject Classification ID

Point estimation (62F10) Bayesian inference (62F15) Admissibility in statistical decision theory (62C15)

Related Items (9)

A stepwise Bayesian estimator for the total number of distinct species in finite populations: Sampling by elements ⋮ A minimal complete class theorem for decision problems where the parameter space contains only finitely many points ⋮ Estimation in discrete parameter models ⋮ Admissible estimators in finite population sampling employing various types of prior information ⋮ Admissible estimators of the population total using trimming and Winsorization ⋮ Noninformative nonparametric quantile estimation for simple random samples ⋮ On the consistency between model-and design-based estimators in survey sampling ⋮ Inadmissibility results of the mle for the multinomial problem when the parameter space is restricted or truncated ⋮ Some results on admissibility and uniform admissibility in double sampling

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