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EnglishIn 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:/) 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.
Some Remarks on admissibility conditions / DE GIOVANNI, Livia; PIER LUIGI, Conti. - In: JOURNAL OF THE ITALIAN STATISTICAL SOCIETY. - ISSN 1121-9130. - 1:3(1992), pp. 315-323.
| Titolo: | Some Remarks on admissibility conditions | |
| Autori: | ||
| Data di pubblicazione: | 1992 | |
| Rivista: | ||
| Citazione: | Some Remarks on admissibility conditions / DE GIOVANNI, Livia; PIER LUIGI, Conti. - In: JOURNAL OF THE ITALIAN STATISTICAL SOCIETY. - ISSN 1121-9130. - 1:3(1992), pp. 315-323. | |
| Abstract: | 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:/) 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. | |
| Handle: | http://hdl.handle.net/11385/6037 | |
| Appare nelle tipologie: | 01.1 - Articolo su rivista (Article) |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| J.It.Sta.Soc.1992.pdf | Documento in Post-print | DRM non definito | Administrator | |
| abstractJISS1992.pdf | Abstract | DRM non definito | Administrator |
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http://hdl.handle.net/11385/6037
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