This Bayesian modeling book provides a self-contained entry to
computational Bayesian statistics. Focusing on the most standard
statistical models and backed up by real datasets and an
all-inclusive R (CRAN) package called bayess, the book provides an
operational methodology for conducting Bayesian inference, rather
than focusing on its theoretical and philosophical justifications.
Readers are empowered to participate in the real-life data analysis
situations depicted here from the beginning. The stakes are high
and the reader determines the outcome. Special attention is paid to
the derivation of prior distributions in each case and specific
reference solutions are given for each of the models. Similarly,
computational details are worked out to lead the reader towards an
effective programming of the methods given in the book. In
particular, all R codes are discussed with enough detail to make
them readily understandable and expandable. This works in
conjunction with the bayess package.
Bayesian Essentials with R can be used as a textbook at both
undergraduate and graduate levels, as exemplified by courses given
at Universite Paris Dauphine (France), University of Canterbury
(New Zealand), and University of British Columbia (Canada). It is
particularly useful with students in professional degree programs
and scientists to analyze data the Bayesian way. The text will also
enhance introductory courses on Bayesian statistics. Prerequisites
for the book are an undergraduate background in probability and
statistics, if not in Bayesian statistics. A strength of the text
is the noteworthy emphasis on the role of models in statistical
analysis.
This is the new, fully-revised edition to the book Bayesian
Core: A Practical Approach to Computational Bayesian
Statistics.
Jean-Michel Marin is Professor of Statistics at Universite
Montpellier 2, France, and Head of the Mathematics and Modelling
research unit. He has written over 40 papers on Bayesian
methodology and computing, as well as worked closely with
population geneticists over the past ten years.
Christian Robert is Professor of Statistics at Universite
Paris-Dauphine, France. He has written over 150 papers on Bayesian
Statistics and computational methods and is the author or co-author
of seven books on those topics, including The Bayesian Choice
(Springer, 2001), winner of the ISBA DeGroot Prize in 2004. He is a
Fellow of the Institute of Mathematical Statistics, the Royal
Statistical Society and the American Statistical Society. He has
been co-editor of the Journal of the Royal Statistical Society,
Series B, and in the editorial boards of the Journal of the
American Statistical Society, the Annals of Statistics, Statistical
Science, and Bayesian Analysis. He is also a recipient of an
Erskine Fellowship from the University of Canterbury (NZ) in 2006
and a senior member of the Institut Universitaire de France
(2010-2015)."
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