A class of nonlinear admissible estimators in the one-parameter exponential family

DOI10.1214/aos/1176345344zbMath0452.62005OpenAlexW2000714268MaRDI QIDQ1148619

Stefan S. Ralescu, Dan A. Ralescu

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/1176345344

zbMATH Keywords

quadratic lossscale parameterone-parameter exponential familyformal Bayes estimatorstruncated parameter spacegamma densitynonlinear admissible estimators

Mathematics Subject Classification ID

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

Related Items (11)

Admissibility and inadmissibility of estimators in the one-parameter exponential family ⋮ Admissibility of generalized Bayes estimators in a one parameter nonregular family ⋮ Admissible and minimax estimators of \(\lambda ^ r\) in the gamma distribution with truncated parameter space ⋮ An admissible estimator for the \(r\)th power of a bounded scale parameter in a subclass of the exponential family under entropy loss function ⋮ Median loss decision theory ⋮ Admissible estimation in an one parameter nonregular family of absolutely continuous distributions ⋮ Sufficient conditions for the admissibility under the LINEX loss function in non-regular case ⋮ Gamma-admissibility of estimators in the one-parameter exponential family ⋮ Admissibility in non-regular family under squared-log error loss ⋮ Sufficient Conditions for the Admissibility Under LINEX Loss Function in Regular Case ⋮ A general class of nonlinear admissible estimators in the one-parameter exponential case

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