Basic R Programming.- Random Variable Generation.- Monte Carlo Integration.- Controlling and Accelerating Convergence.- Monte Carlo Optimization.- Metropolis#x2013;Hastings Algorithms.- Gibbs Samplers.- Convergence Monitoring and Adaptation for MCMC Algorithms.
From the reviews: "Robert and Casella's new book uses the programming language R, a favorite amongst (Bayesian) statisticians to introduce in eight chapters both basic and advanced Monte Carlo techniques ... . The book could be used as the basic textbook for a semester long course on computational statistics with emphasis on Monte Carlo tools ... . useful for (and should be next to the computer of) a large body of hands on graduate students, researchers, instructors and practitioners ... ." (Hedibert Freitas Lopes, Journal of the American Statistical Association, Vol. 106 (493), March, 2011) "Chapters focuses on MCMC methods the Metropolis-Hastings algorithm, Gibbs sampling, and monitoring and adaptation for MCMC algorithms. ... There are exercises within and at the end of all chapters ... . Overall, the level of the book makes it suitable for graduate students and researchers. Others who wish to implement Monte Carlo methods, particularly MCMC methods for Bayesian analysis will also find it useful." (David Scott, International Statistical Review, Vol. 78 (3), 2010) "The primary audience is graduate students in statistics, biostatistics, engineering, etc. who need to know how to utilize Monte Carlo simulation methods to analyze their experiments and/or datasets. ... this text does an effective job of including a selection of Monte Carlo methods and their application to a broad array of simulation problems. ... Anyone who is an avid R user and has need to integrate and/or optimize complex functions will find this text to be a necessary addition to his or her personal library." (Dean V. Neubauer, Technometrics, Vol. 53 (2), May, 2011)