Bibliography#
This is a partial list of good references.
Richard Threlkeld Cox. The Algebra of Probable Inference. Johns Hopkins University Press, 1961.
A. Gelman, J.B. Carlin, H.S. Stern, D.B. Dunson, A. Vehtari, and D.B. Rubin. Bayesian Data Analysis, Third Edition. Chapman & Hall/CRC Texts in Statistical Science. Taylor & Francis, 2013. URL: http://www.stat.columbia.edu/~gelman/book/BDA3.pdf.
Phil Gregory. Bayesian Logical Data Analysis for the Physical Sciences. Cambridge University Press, 2005.
Edward Thompson Jaynes. Probability Theory: The Logic of Science. Cambridge University Press, 2003.
David J. C. MacKay. Information Theory, Inference, and Learning Algorithms. Cambridge University Press, Cambridge, UK, 2003.
George Polya. Mathematics and Plausible Reasoning, Volume 1: Induction and Analogy in Mathematics. Princeton University Press, 1954.
George Polya. Mathematics and Plausible Reasoning, Volume 2: Patterns of Plausible Inference. Princeton University Press, 1954.
D. S. Sivia and J. Skilling. Data Analysis - A Bayesian Tutorial. Oxford Science Publications. Oxford University Press, 2nd edition, 2006.
Roberto Trotta. Bayes in the sky: Bayesian inference and model selection in cosmology. Contemp. Phys., 49:71–104, 2008. arXiv:0803.4089, doi:10.1080/00107510802066753.