Abstract
We come now to the most polemical of all my articles. There are several reasons for this heated style. Firstly, most of it was written in 1963, as a reply to the ‘astonishing article’ of Bross referred to, whose polemics make mine seem unimaginative. Indeed, his anti-Bayesian tirade contained nothing but polemics, unsupported by a single technical fact. But had he taken the trouble to read Jeffreys, he would have found demonstrations, on the level of technical fact with no polemics, of the falsity of his charges.
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References
Bayes, Rev. Thomas, ‘An Essay Toward Solving a Problem in the Doctrine of Chces’,Phil. Trans. Roy. Soc. 330–418 (1763).
Reprint, with biographical note by G. A. Barnard, in Biometrika 45, 293–315 (1958) and in Studies in the History of Statistics and Probability, E. S. Pearson and M. G. Kendall, (eds), C. Griffin and Co. Ltd., London, (1970).
Also reprinted in Two Papers by Bayes with Commentaries, (W. E. Deming, ed.), Hafner Publishing Co., New York, (1963).
Birnbaum, Allen, ‘On the Foundations of Statistical Inference’, J. Am. Stat. Ass’n 57 269 (1962).
Bross, Irwin D. J., ‘Linguistic Analysis of a Statistical Controversy’, The Am. Statist. 17, 18 (1963).
Cox, D. R., ‘Some Problems Connected with Statistical Inference’, Ann. Math. Stat. 29, 357 (1958).
Crow, E. L., Davis, F. A., and Maxfield, M. W., Statistics Manual, Dover Publications, Inc., New York (1960).
Fisher, R. A., Statistical Methods and Scientific Inference, Hafner Publishing Co., New York (1956).
Friedman, K. and Shimony, A., ‘Jaynes’ Maximum Entropy Prescription and Probability Theory’, J. Stat. Phys. 3, 381–384 (1971).
Good, I. J., Probability and The Weighing of Evidence, C. Griffin and Co. Ltd., London (1950).
Good, I. J., The Estimation of Probability, Research Monograph #30, The MIT Press, Cambridge, Mass. (1965); paperback edition, 1968.
Jaynes, E. T., ‘Information Theory and Statistical Mechanics, I, II’, Phys. Rev. 106, 620–630; 108, 171–190 (1957).
Jaynes, E. T., Probability Theory in Science and Engineering, No. 4 of Colloquium Lectures on Pure and Applied Science, Socony-Mobil Oil Co., Dallas, Texas (1958).
Jaynes, E. T., ‘Note on Unique Decipherability’, IRE Trans, on Information Theory, p. 98 (September 1959).
Jaynes, E. T., ‘New Engineering Applications of Information Theory’, in Engineering Uses of Random Function Theory and Probability, J. L. Bogdanoff and F. Kozin, (eds.), J. Wiley & Sons, Inc., N.Y. (1963); pp. 163–203.
Jaynes, E. T., ‘Information Theory and Statistical Mechanics’, in Statistical Physics, K. W. Ford, (ed.), W. A. Benjamin, Inc., (1963); pp. 181–218.
Jaynes, E. T., ‘Gibbs vs. Boltzmann Entropies’, Am. J. Phys. 33, 391 (1965).
Jaynes, E. T., ‘Foundations of Probability Theory and Statistical Mechanics’, Chap. 6 in Delaware Seminar in Foundations of Physics, M. Bunge, (ed.), Springer-Verlag, Berlin (1967);
Spanish translation in Modern Physics, David Webber, (ed.), Alianza Editorial s/a, Madrid 33 (1973).
Jaynes, E. T., ‘Prior Probabilities’, IEEE Trans, on System Science and Cybernetics, SSC-4, (September 1968), pp. 227–241.
Jaynes, E. T., ‘The Well-Posed Problem’, in Foundations of Statistical Inference, V. P. Godambe and D. A. Sprott, (eds.), Holt, Rinehart and Winston of Canada, Toronto (1971).
Jaynes, E. T., ‘Survey of the Present Status of Neoclassical Radiation Theory’, in Coherence and Quantum Optics, L. Mandel and E. Wolf, (eds.), Plenum Publishing Corp., New York (1973), pp. 35–81.
Jeffreys, H., Theory of Probability, Oxford University Press (1939).
Jeffreys, H., Scientific Inference, Cambridge University Press (1957).
Kempthorne, O., ‘Probability, Statistics, and the Knowledge Business’, in Foundations of Statistical Inference, V. P. Godambe and D. A. Sprott, (eds.), Holt, Rinehart and Winston of Canada, Toronto (1971).
Kendall, M. G. and Stuart, A., The Advanced Theory of Statistics, Volume 2, C. Griffin and Co., Ltd., London (1961).
Lehmann, E. L., Testing Statistical Hypotheses, J. Wiley & Sons, Inc., New York (1959), p. 62.
Pearson, E. S., Discussion in Savage (1962); p. 57.
Roberts, Norman A., Mathematical Methods in Reliability Engineering, McGraw-Hill Book Co., Inc., New York (1964) pp. 86–88.
Rowlinson, J.S., ‘Probability, Information and Entropy’, Nature 225, 1196–1198 (1970).
Savage, L. J., The Foundations of Statistics, John Wiley, & Sons, Inc., New York (1954).
Savage, L. J., The Foundations of Statistical Inference, John Wiley & Sons, Inc., New York (1962).
Schlaifer, R., Probability and Statistics for Business Decisions, McGraw-Hill Book Co., Inc., New York (1959).
Smith, C. A. B., Discussion in Savage (1962); p. 60.
References
Barnard, G. A., ‘Comments on Stein’s “A Remark on the Likelihood Principle”’, J. Roy. Stat. Soc. (A) 125, 569 (1962).
Cox, R. T., Am. J. Phys. 17, 1 (1946).
Cox, R. T., The Algebra of Probable Inference, Johns Hopkins University Press, 1961
Reviewed by E. T. Jaynes, Am. J. Phys. 31, 66 (1963).
Deming, W. E., Statistical Adjustment of Data, J. Wiley, New York (1943).
Fisher, R. A., Contributions to Mathematical Statistics, W. A. Shewhart, (ed.), J. Wiley and Sons, Inc. New York (1950); Referred to above as ‘Collected Works’.
Fisher, R. A., Statistical Methods and Scientific Inference, Hafner Publishing Co., New York (1956).
Fisher, R. A., Statistical Methods for Research Workers, Hafner Publishing Co., New York: Thirteenth Edition (1958).
Hoel, P. G., Introduction to Mathematical Statistics, Fourth Edition, J. Wiley and Sons, Inc., New York (1971).
Jaynes, E. T., ‘Review of Noise and Fluctuations’, by D. K. C. MacDonald, Am. J. Phys. 31, 946 (1963).
Kendall, M. G., ‘Ronald Aylmer Fisher, 1890’1962’, Biometrika 50, 1–15 (1963);
reprinted in Studies in the History of Statistics and Probability, E. S. Pearson and M. G. Kendall, (eds)., Hafner Publishing Co., Darien, Conn. (1970).
Mandel, J., The Statistical Analysis of Experimental Data, Interscience Publishers, New York (1964); p. 290.
McColl, H., ‘The Calculus of Equivalent Statements’, Proc. Lond. Math. Soc. 28, p. 556 (1897).
Pearson, Karl, ‘Method of Moments and Method of Maximum Likelihood’, Biometrika 28, 34 (1936).
Pratt, John W., ‘Review of Testing Statistical Hypothesis’ (Lehmann, 1959); J. Am. Stat. Assoc. Vol. 56, pp. 163–166 (1961).
Roberts, Harry V., ‘Statistical Dogma: One Response to a Challenge’, Multilithed, University of Chicago (1965).
Thornber, Hodson, ‘An Autoregressive Model: Bayesian Versus Sampling Theory Analysis’, Multilithed, Dept. of Economics, University of Chicago, Chicago, Illinois (1965).
Wilbraham, H., Phil. Mag. Series, 4, Vol. vii, (1854).
Zellner, Arnold, ‘Bayesian Inference and Simultaneous Equation Models’, Multilithed, University of Chicago, Chicago, Illinois (1965).
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Rosenkrantz, R.D. (1989). Confidence Intervals vs Bayesian Intervals (1976). In: Rosenkrantz, R.D. (eds) E. T. Jaynes: Papers on Probability, Statistics and Statistical Physics. Synthese Library, vol 158. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6581-2_9
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