Bayes, Jeffreys, Prior Distributions and the Philosophy of Statistics

Discussion of "Harold Jeffreys's Theory of Probability revisited," by Christian Robert, Nicolas Chopin, and Judith Rousseau, for Statistical Science [arXiv:0804.3173]

[1]  David Lindley,et al.  Fiducial Distributions and Bayes' Theorem , 1958 .

[2]  T. Kuhn,et al.  The Structure of Scientific Revolutions. , 1964 .

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

[4]  David Lindley,et al.  Introduction to Probability and Statistics from a Bayesian Viewpoint , 1966 .

[5]  William Mendenhall,et al.  Introduction to Probability and Statistics , 1961, The Mathematical Gazette.

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

[7]  Geoffrey Gregory,et al.  Foundations of Statistical Inference , 1973 .

[8]  George E. P. Box,et al.  Sampling and Bayes' inference in scientific modelling and robustness , 1980 .

[9]  E. T. Jaynes,et al.  Papers on probability, statistics and statistical physics , 1983 .

[10]  D. Rubin Bayesianly Justifiable and Relevant Frequency Calculations for the Applied Statistician , 1984 .

[11]  B. M. Hill,et al.  Theory of Probability , 1990 .

[12]  James O. Berger,et al.  Ockham's Razor and Bayesian Analysis , 1992 .

[13]  D. Rubin,et al.  Hierarchical logistic regression models for imputation of unresolved enumeration status in undercount estimation. , 1993, Journal of the American Statistical Association.

[14]  StatisticsHarvard,et al.  Avoiding model selection in Bayesian social research , 1994 .

[15]  Andrew Gelman,et al.  Bayesian Model-Building By Pure Thought: Some Principles and Examples , 1994 .

[16]  A. Raftery Bayesian Model Selection in Social Research , 1995 .

[17]  Geoffrey E. Hinton,et al.  Bayesian Learning for Neural Networks , 1995 .

[18]  Xiao-Li Meng,et al.  POSTERIOR PREDICTIVE ASSESSMENT OF MODEL FITNESS VIA REALIZED DISCREPANCIES , 1996 .

[19]  L. Wasserman,et al.  The Selection of Prior Distributions by Formal Rules , 1996 .

[20]  A. Gelman A Bayesian Formulation of Exploratory Data Analysis and Goodness‐of‐fit Testing * , 2003 .

[21]  David J. C. MacKay,et al.  Information Theory, Inference, and Learning Algorithms , 2004, IEEE Transactions on Information Theory.

[22]  P. Gustafson,et al.  Conservative prior distributions for variance parameters in hierarchical models , 2006 .

[23]  H. Chipman,et al.  Bayesian Additive Regression Trees , 2006 .

[24]  D. Dunson Bayesian dynamic modeling of latent trait distributions. , 2006, Biostatistics.

[25]  M. G. Pittau,et al.  A weakly informative default prior distribution for logistic and other regression models , 2008, 0901.4011.

[26]  John K Kruschke,et al.  Bayesian data analysis. , 2010, Wiley interdisciplinary reviews. Cognitive science.