Sampling inference, Bayes' inference and robustness in the advancement of learning.

George E. P. Box

Trabajos de Estadística e Investigación Operativa (1980)

  • Volume: 31, Issue: 1, page 366-370
  • ISSN: 0041-0241

Abstract

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Scientific learning is seen as an iterative process employing Criticism and Estimation. Sampling theory use of predictive distributions for model criticism is examined and also the implications for significance tests and the theory of precise measurement. Normal theory examples and ridge estimates are considered. Predictive checking functions for transformation, serial correlation, and bad values are reviewed as is their relation with Bayesian options. Robustness is seen from a Bayesian view point and examples are given. The bad value problem is also considered and comparison with M estimators is made.

How to cite

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Box, George E. P.. "Sampling inference, Bayes' inference and robustness in the advancement of learning.." Trabajos de Estadística e Investigación Operativa 31.1 (1980): 366-370. <http://eudml.org/doc/40834>.

@article{Box1980,
abstract = {Scientific learning is seen as an iterative process employing Criticism and Estimation. Sampling theory use of predictive distributions for model criticism is examined and also the implications for significance tests and the theory of precise measurement. Normal theory examples and ridge estimates are considered. Predictive checking functions for transformation, serial correlation, and bad values are reviewed as is their relation with Bayesian options. Robustness is seen from a Bayesian view point and examples are given. The bad value problem is also considered and comparison with M estimators is made.},
author = {Box, George E. P.},
journal = {Trabajos de Estadística e Investigación Operativa},
keywords = {Inferencia bayesiana; Predicción estadística; Teoría del aprendizaje; Robustez; iterative learning; model building; predictive distribution; transformations; serial correlation; bad values; outliers; scientific learning; model criticism; parameter estimation; model discrepancy; diagnostic checking; robustification},
language = {eng},
number = {1},
pages = {366-370},
title = {Sampling inference, Bayes' inference and robustness in the advancement of learning.},
url = {http://eudml.org/doc/40834},
volume = {31},
year = {1980},
}

TY - JOUR
AU - Box, George E. P.
TI - Sampling inference, Bayes' inference and robustness in the advancement of learning.
JO - Trabajos de Estadística e Investigación Operativa
PY - 1980
VL - 31
IS - 1
SP - 366
EP - 370
AB - Scientific learning is seen as an iterative process employing Criticism and Estimation. Sampling theory use of predictive distributions for model criticism is examined and also the implications for significance tests and the theory of precise measurement. Normal theory examples and ridge estimates are considered. Predictive checking functions for transformation, serial correlation, and bad values are reviewed as is their relation with Bayesian options. Robustness is seen from a Bayesian view point and examples are given. The bad value problem is also considered and comparison with M estimators is made.
LA - eng
KW - Inferencia bayesiana; Predicción estadística; Teoría del aprendizaje; Robustez; iterative learning; model building; predictive distribution; transformations; serial correlation; bad values; outliers; scientific learning; model criticism; parameter estimation; model discrepancy; diagnostic checking; robustification
UR - http://eudml.org/doc/40834
ER -

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