Skip to main content
SpringerLink
Log in

Sampling inference, Bayes’ inference, and robustness in the advancement of learning

  • Sensitivity to Models
  • Invited Papers
  • Published:
Trabajos de Estadistica Y de Investigacion Operativa

Summary

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 withM estimators is made.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References in the Discussion

  • BOX, G.E.P. and TIAO, G.C. (1962). A further look at robustness via Bayes’s theorem.Biometrika 49, 419–432.

    MATH  MathSciNet  Google Scholar 

  • GOOD, I.J. and GASKINS, R.A. (1980). Density estimation and bump-hunting by the penalized likelihood method exemplified by scatering and meteorite data.J. Amer. Statist. Assoc. 75, 42–73 (with discussion).

    Article  MATH  MathSciNet  Google Scholar 

  • O’HAGAN, A. (1979). On outlier rejection phenomena in Bayes inference.J. Roy. Statist. Soc. B. 41, 358–367.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Wisconsin-Madison, Madison, USA

    G. E. P. Box

Authors
  1. G. E. P. Box
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This is an extended abstract of the paper “Sampling and Bayes’ Inference in Scientific Modelling and Robustness” later read before the Royal Statistical Society at Cardiff, Wales, on May 15th, 1980 and published inJ. Roy. Statist. Soc. A,143.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Box, G.E.P. Sampling inference, Bayes’ inference, and robustness in the advancement of learning. Trabajos de Estadistica Y de Investigacion Operativa 31, 366–381 (1980). https://doi.org/10.1007/BF02888360

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02888360

Keywords

Search

Navigation