Sampling and Bayes' Inference in Scientific Modelling and Robustness

Scientific learning is an iterative process employing Criticism and Estimation. Correspondingly the formulated model factors into two complementary parts--a predictive part allowing model criticism, and a Bayes posterior part allowing estimation. Implications for significance tests, the theory of pr...

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Veröffentlicht in:Journal of the Royal Statistical Society. Series A (General). - Royal Statistical Society, 1948. - 143(1980), 4, Seite 383-430
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 1980
Zugriff auf das übergeordnete Werk:Journal of the Royal Statistical Society. Series A (General)
Schlagworte:Iterative Learning Model Building Inference Bayes Theorem Sampling Theory Predictive Distribution Diagnostic Check Transformations Serial Correlation Bad Values mehr... Outliers Robust Estimation Applied sciences Mathematics Behavioral sciences
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520 |a Scientific learning is an iterative process employing Criticism and Estimation. Correspondingly the formulated model factors into two complementary parts--a predictive part allowing model criticism, and a Bayes posterior part allowing estimation. Implications for significance tests, the theory of precise measurement and for ridge estimates are considered. Predictive checking functions for transformation, serial correlation, bad values, and their relation with Bayesian options are considered. Robustness is seen from a Bayesian viewpoint and examples are given. For the bad value problem a comparison with M estimators is made. 
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650 4 |a Diagnostic Check 
650 4 |a Transformations 
650 4 |a Serial Correlation 
650 4 |a Bad Values 
650 4 |a Outliers 
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650 4 |a Behavioral sciences  |x Psychology  |x Cognitive psychology  |x Cognitive processes  |x Thought processes  |x Reasoning  |x Inference 
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650 4 |a Mathematics  |x Applied mathematics  |x Statistics  |x Applied statistics  |x Descriptive statistics  |x Statistical distributions  |x Normal distribution curve  |x Sampling distributions 
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