Confidence Intervals vs Bayesian Intervals

For many years, statistics textbooks have followed this ‘canonical’ procedure: (1) the reader is warned not to use the discredited methods of Bayes and Laplace, (2) an orthodox method is extolled as superior and applied to a few simple problems, (3) the corresponding Bayesian solutions are not worked out or described in any way. The net result is that no evidence whatsoever is offered to substantiate the claim of superiority of the orthodox method.

[1]  H. Jeffreys,et al.  Theory of probability , 1896 .

[2]  Karl Pearson,et al.  METHOD OF MOMENTS AND METHOD OF MAXIMUM LIKELIHOOD , 1936 .

[3]  L. Guttman,et al.  Statistical Adjustment of Data , 1944 .

[4]  F. H. Crawford Jacobian Methods in Thermodynamics , 1949 .

[5]  R. Fisher Contributions to mathematical statistics , 1951 .

[6]  L. J. Savage,et al.  Probability and the weighing of evidence , 1951 .

[7]  L. J. Savage,et al.  The Foundations of Statistics , 1955 .

[8]  Rory A. Fisher,et al.  Statistical Methods for Research Workers. , 1956 .

[9]  E. Jaynes Information Theory and Statistical Mechanics , 1957 .

[10]  R. A. Fisher,et al.  Statistical methods and scientific inference. , 1957 .

[11]  Howard Raiffa,et al.  Games And Decisions , 1958 .

[12]  Robert Schlaifer,et al.  Probability And Statistics For Business Decisions , 1960 .

[13]  Robert V. Hogg,et al.  Introduction to Mathematical Statistics. , 1966 .

[14]  E. Lehmann Testing Statistical Hypotheses , 1960 .

[15]  L. J. Savage The Foundations of Statistical Inference. , 1963 .

[16]  G. Barnard Comments on Stein's “A Remark on the Likelihood Principle” , 1962 .

[17]  A. Birnbaum On the Foundations of Statistical Inference , 1962 .

[18]  D. MacDonald,et al.  Noise and Fluctuations , 1963 .

[19]  M. Kendall,et al.  The advanced theory of statistics , 1945 .

[20]  Norman Hailstone Roberts,et al.  Mathematical Methods in Reliability Engineering , 1964 .

[21]  R. R. Umarji,et al.  Probability and statistical methods , 1964 .

[22]  G. W. Snedecor Statistical Methods , 1964 .

[23]  E. T. Jaynes Gibbs vs Boltzmann Entropies , 1965 .

[24]  J. Mandel,et al.  The Statistical Analysis of Experimental Data. , 1965 .

[25]  Statistical Dogma: One Response to a Challenge , 1966 .

[26]  J Cornfield,et al.  The Bayesian outlook and its application. , 1969, Biometrics.

[27]  J. S. Rowlinson,et al.  Probability, Information and Entropy , 1970, Nature.

[28]  Maurice G. Kendall,et al.  Studies in the history of statistics and probability: A series of papers , 1972 .

[29]  Oscar Kempthorne,et al.  Probability, Statistics, and data analysis , 1973 .

[30]  K. Friedman,et al.  Jaynes's maximum entropy prescription and probability theory , 1971 .

[31]  Robert G. Easterling,et al.  A Personal View of the Bayesian Controversy in Reliability and Statistics , 1972 .

[32]  Expectation consistency of inverse probability distributions , 1972 .

[33]  A. P. Dawid,et al.  Un-Bayesian implications of improper Bayes inference in routine statistical problems , 1972 .

[34]  D. A. Sprott,et al.  Foundations of Statistical Inference. , 1972 .

[35]  E. T. Jaynes,et al.  Survey of the Present Status of Neoclassical Radiation Theory , 1973 .

[36]  Emil Wolf,et al.  COHERENCE AND QUANTUM OPTICS , 1973 .

[37]  M. Stone,et al.  Marginalization Paradoxes in Bayesian and Structural Inference , 1973 .

[38]  D. A. Sprott,et al.  On Tests of Significance , 1976 .