Statistical Science

Rejoinder: “On the Birnbaum Argument for the Strong Likelihood Principle”

Deborah G. Mayo

Full-text: Open access

Article information

Source
Statist. Sci., Volume 29, Number 2 (2014), 261-266.

Dates
First available in Project Euclid: 18 August 2014

Permanent link to this document
https://projecteuclid.org/euclid.ss/1408368580

Digital Object Identifier
doi:10.1214/14-STS482

Mathematical Reviews number (MathSciNet)
MR3264541

Zentralblatt MATH identifier
1332.62026

Citation

Mayo, Deborah G. Rejoinder: “On the Birnbaum Argument for the Strong Likelihood Principle”. Statist. Sci. 29 (2014), no. 2, 261--266. doi:10.1214/14-STS482. https://projecteuclid.org/euclid.ss/1408368580


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References

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  • Birnbaum, A. (1962). On the foundations of statistical inference. J. Amer. Statist. Assoc. 57 269–306. Reprinted in Breakthroughs in Statistics 1 (S. Kotz and N. Johnson, eds.) 478–518. Springer, New York.
  • Birnbaum, A. (1968). Likelihood. In International Encyclopedia of the Social Sciences 9 299–301. Macmillan and the Free Press, New York.
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  • Birnbaum, A. (1970a). Statistical methods in scientific inference. Nature 225 1033.
  • Birnbaum, A. (1970b). On Durbin’s modified principle of conditionality. J. Amer. Statist. Assoc. 65 402–403.
  • Birnbaum, A. (1972). More on concepts of statistical evidence. J. Amer. Statist. Assoc. 67 858–861.
  • Birnbaum, A. (1975). Comments on “Sufficiency and conditionality” by J. D. Kalbfleisch. Biometrika 62 262–264.
  • Birnbaum, A. (1977). The Neyman–Pearson theory as decision theory, and as inference theory; with a criticism of the Lindley–Savage argument for Bayesian theory. Synthese 36 19–49.
  • Cox, D. R. (1958). Some problems connected with statistical inference. Ann. Math. Statist. 29 357–372.
  • Durbin, J. (1970). On Birnbaum’s theorem on the relation between sufficiency, conditionality and likelihood. J. Amer. Statist. Assoc. 65 395–398.
  • Evans, M. J., Fraser, D. A. S. and Monette, G. (1986). On principles and arguments to likelihood. Canad. J. Statist. 14 181–199.
  • Fisher, R. A. (1956). Statistical Methods and Scientific Inference. Oliver and Boyd, Edinburgh.
  • Giere, R. N. (1977). Allan Birnbaum’s conception of statistical evidence. Synthese 36 5–13.
  • Kalbfleisch, J. D. (1975). Sufficiency and conditionality. Biometrika 62 251–268.
  • Mayo, D. G. (2010). An error in the argument from conditionality and sufficiency to the likelihood principle. In Error and Inference: Recent Exchanges on Experimental Reasoning, Reliability, and the Objectivity and Rationality of Science (D. G. Mayo and A. Spanos, eds.) 305–314. Cambridge Univ. Press., Cambridge.
  • Pratt, J. W. (1962). On the foundations of statistical inference: Discussion. J. Amer. Statist. Assoc. 57 314–316.

See also

  • Main article: On the Birnbaum Argument for the Strong Likelihood Principle.