Some remarks on an admissibility condition |
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Authors: | Pier Luigi Conti Livia De Giovanni |
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Institution: | 1. Dipartimento di Statistica, Probabilità e Statistiche Applicate, Università di Roma ?La Sapienza?, P.le A. Moro 5, 00185, Roma, Italy 2. SIP, Roma
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Abstract: | Summary In this note we deal with some admissibility conditions proved by G. B. Tranquilli to be sufficient in the class of unbiased
estimators of finite population parameters and with respect to (w.r.t.) a quadratic loss function. We show that the same conditions:i) are sufficient for the admissibility of an unbiased estimator with any loss function;ii) imply hyperadmissibility with reference to a particular (critical) population of the. From this fact we deduce that, for
a fixed critical population, there is at most one estimator, in the class of all unbiased estimator of a finite population
parameter, which satisfies Tranquilli condition.
This research was partially supported by a M.U.R.S.T. grant ?Metodi inferenziali basati sul ricampionamento?. |
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Keywords: | finite populations sampling design parameter estimation admissibility hyperadmissibility |
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