Dear Reader: We just arrived in London[i][ii]. Jean Miller has put together some materials for Birnbaum LP aficionados in connection with my 28 November seminar. Great to have ready links to some of the early comments and replies by Birnbaum, Durbin, Kalbfleish and others, possibly of interest to those planning contributions to the current “U-Phil“. I will try to make some remarks on Birnbaum’s 1970 letter to the editor tomorrow.
November 28th reading
- Mayo. D. (2012) ” On the Birnbaum Argument for the Strong Likelihood Principle“. See it in summary form here.
Background Papers (Mayo, Cox)
- Mayo, D. (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 Mayo and A. Spanos eds.), Cambridge: Cambridge University Press: 305-14.
- Cox & Mayo (2011) (appendix).
- Cox, D. R. (1958), “Some problems connected with statistical inference“, The Annals of Mathematical Statistics, 29, 357-372.
Birnbaum Papers:
- Birnbaum, A. (1962), “On the Foundations of Statistical Inference“, Journal of the American Statistical Association 57(298), 269-306.
- Savage, L. J., Barnard, G., Cornfield, J., Bross, I, Box, G., Good, I., Lindley, D., Clunies-Ross, C., Pratt, J., Levene, H., Goldman, T., Dempster, A., Kempthorne, O, and Birnbaum, A. (1962). ” Discussion on Birnbaum’s On the Foundations of Statistical Inference”, Journal of the American Statistical Association 57(298), 307-326.
- Birbaum, A (1970). Statistical Methods in Scientific Inference (letter to the editor). Nature 225, 1033.
- Birnbaum, A (1972), “More on Concepts of Statistical Evidence“, Journal of the American Statistical Association, 67(340), 858-861.
Some additional discussion papers of possible interest
Durbin:
- Durbin, J. (1970), “On Birnbaum’s Theorem on the Relation Between Sufficiency, Conditionality and Likelihood”, Journal of the American Statistical Association, Vol. 65, No. 329 (Mar., 1970), pp. 395-398.
- Savage, L. J., (1970), “Comments on a Weakened Principle of Conditionality”, Journal of the American Statistical Association, Vol. 65, No. 329 (Mar., 1970), pp. 399-401.
- Birnbaum, A. (1970), “On Durbin’s Modified Principle of Conditionality”, Journal of the American Statistical Association, Vol. 65, No. 329 (Mar., 1970), pp. 402-403.
Evans, Fraser, and Monette:
- Evans, M., Fraser, D.A., and Monette, G., (1986), “On Principles and Arguments to Likelihood.” The Canadian Journal of Statistics 14: 181-199.
Kalbfleisch:
- Kalbfleisch, J. D. (1975), “Sufficiency and Conditionality”, Biometrika, Vol. 62, No. 2 (Aug., 1975), pp. 251-259.
- Barnard, G. A., (1975), “Comments on Paper by J. D. Kalbfleisch”, Biometrika, Vol. 62, No. 2 (Aug., 1975), pp. 260-261.
- Barndorff-Nielsen, O. (1975), “Comments on Paper by J. D. Kalbfleisch”, Biometrika, Vol. 62, No. 2 (Aug., 1975), pp. 261-262.
- Birnbaum, A. (1975), “Comments on Paper by J. D. Kalbfleisch”, Biometrika, Vol. 62, No. 2 (Aug., 1975), pp. 262-264.
- Kalbfleisch, J. D. (1975), “Reply to Comments”, Biometrika, Vol. 62, No. 2 (Aug., 1975), p. 268.
[i] Thanks so much to George Chatfield for escorting me to London, and staying for the first couple of days. Good thing, too, as I’ve acquired a couple of new minor foot/knee injuries hampering my walking.
[ii] I had carefully packed and crated this old machine for use while in London, only to discover that two of the typewriter keys were broken off in transit. The airline obviously can do nothing, but if you happen to know of vintage typewriter repairs in London let me know. (There’s Everest, but it’s far away.) Anyway, I don’t use the 24th and 26th letters of the alphabet very often, so it can wait.
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