Admissibility of estimators of the probability of unobserved outcomes

DOI10.1007/BF02481141zbMath0744.62014MaRDI QIDQ1814441

Arthur Cohen, Harold B. Sackrowitz

Publication date: 25 June 1992

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

completenesssquared error losssufficiencyUMVUEGood's estimatoruniformly minimum variance unbiasedadmissible Bayes estimatorsconditional probabilities of a new speciesestimating the probability of unobserved outcomesprobability of new speciesRobbins' estimatorunconditional probability of a new speciesuniformly minimum mean squared error unbiased estimator

Mathematics Subject Classification ID

Bayesian problems; characterization of Bayes procedures (62C10) Admissibility in statistical decision theory (62C15)

Related Items (7)

On the rare species of a population ⋮ On prediction and mean squared error ⋮ On estimating the conditional probability of discovering a new species ⋮ On best unbiased prediction and its relationships to unbiased estimation ⋮ On the species and related problems ⋮ Asymptotic properties of Turing's formula in relative error ⋮ Random function prediction and Stein's identity.

Cites Work

• The efficiency of Good's nonparametric coverage estimator
• Linear estimation of the probability of discovering a new species
• Nonparametric Estimation of the Probability of Discovering a New Species
• Estimating the Total Probability of the Unobserved Outcomes of an Experiment
• THE POPULATION FREQUENCIES OF SPECIES AND THE ESTIMATION OF POPULATION PARAMETERS
• An Extension of Wald's Theory of Statistical Decision Functions
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