A Reexamination of Stein's Antifiducial Example

In Stein's 1959 example, for any sample with n sufficiently large, there is a confidence set embedded simultaneously within two regular confidence belts-one with coverage frequency smaller than an arbitrary positive ε, the other with coverage frequency larger than 1 - ε. Thus, Stein's exam...

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Bibliographische Detailangaben
Veröffentlicht in:	The Canadian Journal of Statistics / La Revue Canadienne de Statistique. - Statistical Society of Canada / Société statistique du Canada. - 12(1984), 2, Seite 135-141
1. Verfasser:	Plante, André (VerfasserIn)
Format:	Online-Aufsatz
Sprache:	English
Veröffentlicht:	1984
Zugriff auf das übergeordnete Werk:	The Canadian Journal of Statistics / La Revue Canadienne de Statistique
Schlagworte:	Stein's antifiducial example Fiducial distribution Consistency Confidence set Pivotal quantity Structural theory Mathematics Philosophy Behavioral sciences


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245	1	2	\|a A Reexamination of Stein's Antifiducial Example
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520			\|a In Stein's 1959 example, for any sample with n sufficiently large, there is a confidence set embedded simultaneously within two regular confidence belts-one with coverage frequency smaller than an arbitrary positive ε, the other with coverage frequency larger than 1 - ε. Thus, Stein's example may be seen as an extreme case of mutually conflicting confidence statements, illustrating a possibility anticipated and denounced by Fisher. /// Lorsque, dans l'exemple donné par Stein en 1959, on prend n suffisamment grand, il existe, pour un échantillon quelconque, un ensemble de confiance qui est plongé à la fois dans deux ceintures de confiance régulières, l'une dont la fréquence de recouvrement est plus petite qu'un nombre arbitrairement petit ε, l'autre dont la fréquence de recouvrement est plus grande que 1 - ε. On peut donc considérer l'exemple de Stein comme un cas extrême de conflit mutuel entre énoncés de confiance, ce qui illustre une possibilité anticipée et désavouée par Fisher.
540			\|a Copyright 1984 Statistical Society of Canada / Société Statistique du Canada
650		4	\|a Stein's antifiducial example
650		4	\|a Fiducial distribution
650		4	\|a Consistency
650		4	\|a Confidence set
650		4	\|a Pivotal quantity
650		4	\|a Structural theory
650		4	\|a Mathematics \|x Pure mathematics \|x Probability theory \|x Probabilities
650		4	\|a Philosophy \|x Applied philosophy \|x Social philosophy \|x Social criticism \|x Critical theory \|x Metanarratives \|x Normativity
650		4	\|a Mathematics \|x Applied mathematics \|x Statistics \|x Applied statistics \|x Inferential statistics \|x Statistical inferences
650		4	\|a Behavioral sciences \|x Psychology \|x Cognitive psychology \|x Cognitive processes \|x Thought processes \|x Reasoning \|x Inference
650		4	\|a Mathematics \|x Applied mathematics \|x Statistics
655		4	\|a research-article
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