Bayesian Analysis

Subjective Bayesian Analysis: Principles and Practice

Michael Goldstein

Full-text: Open access

Abstract

We address the position of subjectivism within Bayesian statistics. We argue, first, that the subjectivist Bayes approach is the only feasible method for tackling many important practical problems. Second, we describe the essential role of the subjectivist approach in scientific analysis. Third, we consider possible modifications to the Bayesian approach from a subjectivist viewpoint. Finally, we address the issue of pragmatism in implementing the subjectivist approach.

Article information

Source
Bayesian Anal. Volume 1, Number 3 (2006), 403-420.

Dates
First available in Project Euclid: 22 June 2012

Permanent link to this document
https://projecteuclid.org/euclid.ba/1340371036

Digital Object Identifier
doi:10.1214/06-BA116

Mathematical Reviews number (MathSciNet)
MR2221272

Zentralblatt MATH identifier
1331.62047

Keywords
coherency exchangeability physical model analysis high reliability testing objective Bayes temporal sure preference

Citation

Goldstein, Michael. Subjective Bayesian Analysis: Principles and Practice. Bayesian Anal. 1 (2006), no. 3, 403--420. doi:10.1214/06-BA116. https://projecteuclid.org/euclid.ba/1340371036


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See also

  • Related item: J. Andres Christen. Stop using 'subjective' to refer to Bayesian analyses (comment on articles by Berger and by Goldstein. Bayesian Anal., Vol. 1, Iss. 3 (2006), 421-422.
  • Related item: David Draper. Coherence and calibration: comments on subjectivity and "objectivity'' in Bayesian analysis (comment on articles by Berger and by Goldstein). Bayesian Anal., Vol. 1, Iss. 3 (2006), 423-428.
  • Related item: Stephen E. Fienberg. Does it make sense to be an "objective Bayesian"? (comment on articles by Berger and by Goldstein). Bayesian Anal., Vol. 1, Iss. 3 (2006), 429-432.
  • Related item: Joseph B. Kadane. Is "objective Bayesian analysis" objective, Bayesian, or wise? (comment on articles by Berger and by Goldstein) . Bayesian Anal., Vol. 1, Iss. 3 (2006), 433-436.
  • Related item: Robert E. Kass. Kinds of Bayesians (comment on articles by Berger and by Goldstein). Bayesian Anal., Vol. 1, Iss. 3 (2006), 437-440.
  • Related item: Frank Lad. Objective Bayesian statistics...Do you buy it? Should we sell it? (comment on articles by Berger and by Goldstein). Bayesian Anal., Vol. 1, Iss. 3 (2006), 441-444.
  • Related item: Anthony O'Hagan. Science, subjectivity and software (comment on articles by Berger and by Goldstein). Bayesian Anal., Vol. 1, Iss. 3 (2006), 445-450.
  • Related item: Larry Wasserman. Frequentist Bayes is objective (comment on articles by Berger and by Goldstein). Bayesian Anal., Vol. 1, Iss. 3 (2006), 451-456.
  • Related item: James Berger. Rejoinder. Bayesian Anal., Vol. 1, Iss. 3 (2006), 451-456.
  • Related item: Michael Goldstein. Subjectivity and objectivity in Bayesian statistics: rejoinder to the discussion. Bayesian Anal., Vol. 1, Iss. 3 (2006), 465-472.