Chapman and Hall/Crc Texts in Statistical Science Ser.: Bayesian Data Analysis by Donald B. Rubin, John B. Carlin, Hal S. Stern, David B. Dunson and Andrew Gelman (2013, Hardcover)
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The book can be used in three different ways. For undergraduate students, it introduces Bayesian inference starting from first principles. For graduate students, the text presents effective current approaches to Bayesian modeling and computation in statistics and related fields.