Skip to main content
SpringerLink
Log in

An objective use of Bayesian models

  • Published:
Annals of the Institute of Statistical Mathematics Aims and scope Submit manuscript

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

References

  1. Aitchison, J. (1975). Goodness of prediction fit,Biometrika,62, 547–554.

    Article  MathSciNet  Google Scholar 

  2. Akaike, H. (1974). A new look at the statistical model identification,IEEE Trans. Automat. Contr., AC-19, 716–723.

    Article  MathSciNet  Google Scholar 

  3. Akaike, H. (1975). Concept of information quantity and the theory of statistics,Preprints of Fall Meeting of Mathematical Society of Japan, October 1975, 73–83 (in Japanese).

  4. Akaike, H. (1975). An extension of the method of maximum likelihood and the Stein's problem,Research Memo. No. 84, Inst. Statist. Math.

  5. Akaike, H. (1976). On entropy maximization principle, A paper presented at the Symposium on Applications of Statistics, Dayton, Ohio, June 14–18, 1976.

  6. Bayes, T. (1763). An essay towards solving a problem in the doctorine of chances,Phil. Trans.,53, 370–418. Reprinted in Thomas Bayes's essay, toward solving a problem in the doctorine of chances,Biometrika,45 (1958), 293–315.

    Google Scholar 

  7. Good, I. J. (1965).The Estimation of Probabilities, M.I.T. Press, Cambridge.

    MATH  Google Scholar 

  8. James, W. and Stein, C. M. (1961). Estimation with quadratic loss function,Proc. 4th Berkeley Symp. Math. Statist. Prob.,1, 361–379.

    MathSciNet  Google Scholar 

  9. Kullback, S. (1959).Information Theory and Statistics, John Wiley, New York.

    MATH  Google Scholar 

  10. Neyman, J. (1962). Two breakthroughs in the theory of statistical decision making,Rev. Int. Statist. Inst.,30, 11–27.

    Article  MathSciNet  Google Scholar 

  11. Roberts, H. V. (1965). Probabilistic prediction,J. Amer. Statist. Ass.,60, 50–62.

    Article  Google Scholar 

  12. Robbins, H. (1951). Asymptotically subminimax solutions of compound statistical decision problems,Proc. 2nd Berkeley Symp. Math. Statist. Prob., 131–148.

  13. Robbins, H. (1956). An empirical Bayes approach to statistics,Proc. 3rd Berkeley Symp. Math. Statist. Prob.,1, 157–164.

    MathSciNet  Google Scholar 

  14. Sanov, I. N. (1961). On the probability of large deviations of random variablesIMS and AMS Selected Translation in Mathematical Statistics and Probability,1, 213–244.

    MathSciNet  Google Scholar 

  15. Stein, C. M. (1956). Inadmissibility of the usual estimator for the mean of a multivariate normal distribution,Proc. 3rd. Berkeley Symp. Math. Statist. Prob.,1, 197–206.

    Google Scholar 

Download references

Authors
  1. Hirotugu Akaike
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The Institute of Statistical Mathematics

About this article

Cite this article

Akaike, H. An objective use of Bayesian models. Ann Inst Stat Math 29, 9–20 (1977). https://doi.org/10.1007/BF02532770

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02532770

Keywords

Search

Navigation