Admissibility of linear estimators in the one parameter exponential family

DOI10.1214/aos/1176343899zbMath0385.62006OpenAlexW2050893251MaRDI QIDQ1249392

Malay Ghosh, Glen Meeden

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1214/aos/1176343899

Mathematics Subject Classification ID

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

Related Items (12)

Admissibility and inadmissibility of estimators in the one-parameter exponential 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 ⋮ Admissibility in quadratically regular problems and recurrence of symmetric Markov chains: Why the connection? ⋮ Admissibility of estimators in the non-regular family under entropy loss function ⋮ Sufficient conditions for the admissibility under the LINEX loss function in non-regular case ⋮ Gamma-admissibility of estimators in the one-parameter exponential family ⋮ Linear estimators of a location parameter and canonical parameter estimators for a Poisson distribution ⋮ 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 ⋮ Admissibility of generalized bayes and pitman estimates in the non-regular family

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