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150324s1995 xx |||||o 00| ||eng c |
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|a 10.2307/1403779
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|a (DE-627)JST041662512
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|a (JST)1403779
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|a DE-627
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|a eng
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|a Rukhin, Andrew L.
|e verfasserin
|4 aut
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|a Admissibility: Survey of a Concept in Progress
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|c 1995
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|a Text
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|a This paper surveys the study of admissibility in statistical decision theory. Reviewed are: Stein's necessary and sufficient admissibility condition and its extensions; Brown's heuristic method of determining admissibility; a differential inequality of the statistical estimation problem; admissible estimators of functions of normal parameters; complete class theorems in hypotheses testing; and problems with finite sample spaces. The connection between admissibility and variational problems of mathematical physics is stressed. /// Cet article donne un aperçu de l'étude d'admissibilité dans la théorie des décisions statistiques. Nous examinons les sujets suivants: les conditions nécessaires et suffisantes d'admissibilité de Stein et ses extensions, la méthode heuristique de Brown pour la détermination de l'admissibilité, une inequation differentielle du problème de l'estimation statistique, les estimateurs admissibiles des fonctions des paramètres normaux, "complete class theorems" dans l'èpreuve des hypothèses, des problèmes avec des espaces aléatoires finis. Le rapport entre l'admissibilité et problèmes variationelles en physique mathématique est souligné.
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|a Copyright 1994 International Statistical Institute
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|a Admissibility
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|a Bayes procedures
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|a Loss function
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|a Normal mean
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|a Statistical decision theory
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|a Variational problems of mathematical physics
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|a Mathematics
|x Applied mathematics
|x Statistics
|x Applied statistics
|x Inferential statistics
|x Statistical estimation
|x Estimation methods
|x Estimators
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|a Behavioral sciences
|x Psychology
|x Cognitive psychology
|x Cognitive processes
|x Decision making
|x Bayesian theories
|x Bayes estimators
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|a Mathematics
|x Pure mathematics
|x Linear algebra
|x Vector analysis
|x Mathematical vectors
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|a Behavioral sciences
|x Psychology
|x Cognitive psychology
|x Decision theory
|x Statistical decision theory
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|a Mathematics
|x Applied mathematics
|x Statistics
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|a Behavioral sciences
|x Psychology
|x Cognitive psychology
|x Cognitive processes
|x Decision making
|x Bayesian theories
|x Bayes rule
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|a Mathematics
|x Applied mathematics
|x Game theory
|x Minimax
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|a Mathematics
|x Mathematical expressions
|x Mathematical functions
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|a Mathematics
|x Applied mathematics
|x Statistics
|x Applied statistics
|x Inferential statistics
|x Statistical estimation
|x Estimation methods
|x Estimators
|x Estimators of variance
|x Estimators for the mean
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|a research-article
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|i Enthalten in
|t International Statistical Review / Revue Internationale de Statistique
|d Blackwell Publishing Ltd
|g 63(1995), 1, Seite 95-115
|w (DE-627)327815280
|w (DE-600)2045049-7
|x 17515823
|7 nnns
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|g volume:63
|g year:1995
|g number:1
|g pages:95-115
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|u https://www.jstor.org/stable/1403779
|3 Volltext
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|u https://doi.org/10.2307/1403779
|3 Volltext
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|d 63
|j 1995
|e 1
|h 95-115
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