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020 _a9781439840955
082 _a519.542
_bGEL
100 _aGelman, Andrew
_936256
245 _aBayesian data analysis
250 _a3rd ed.
260 _bCRC Press,
_c2019
_aBoca Raton :
300 _axiv, 667 p. :
_c26 cm.
440 _aTexts in statistical science
_936335
500 _aContents: Part I: Fundamentals of Bayesian inference. Probability and inference Single-parameter models Introduction to multiparameter models Asymptotics and connections to non-Bayesian approaches Hierarchical models Part II: Fundamentals of Bayesian data analysis. Model checking Evaluating, comparing, and expanding models Modeling accounting for data collection Decision analysis Part III: Advanced computation. Introduction to Bayesian computation Basics of Markov chain simulation Computationally efficient Markov chain simulation Modal and distributional approximations Part IV: Regression models. Introduction to regression models Hierarchical linear models Generalized linear models Models for robust inference Models for missing data Part V: Nonlinear and nonparametric models. Parametric nonlinear models Basis function models Gaussian process models Finite mixture models Dirichlet process models A. Standard probability distributions B. Outline of proofs of limit theorems Computation in R and Stan.
520 _aSummary: Now in its third edition, this classic book is widely considered the leading text on Bayesian methods, lauded for its accessible, practical approach to analyzing data and solving research problems. Bayesian Data Analysis, Third Edition continues to take an applied approach to analysis using up-to-date Bayesian methods. The authors-all leaders in the statistics community-introduce basic concepts from a data-analytic perspective before presenting advanced methods. Throughout the text, numerous worked examples drawn from real applications and research emphasize the use of Bayesian inference in practice.New to the Third EditionFour new chapters on nonparametric modelingCoverage of weakly informative priors and boundary-avoiding priorsUpdated discussion of cross-validation and predictive information criteriaImproved convergence monitoring and effective sample size calculations for iterative simulationPresentations of Hamiltonian Monte Carlo, variational Bayes, and expectation propagationNew and revised software codeThe 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. For researchers, it provides an assortment of Bayesian methods in applied statistics. Additional materials, including data sets used in the examples, solutions to selected exercises, and software instructions, are available on the book's web page.
650 _aBayesian statistical decision theory
_936336
650 _aBayesian probability
_936337
650 _aBayesian linear regression
_936338
650 _aBayesian inference
_936339
650 _aBayesian data analysia
_936340
700 _aCarlin, John B.
_936341
700 _aStern, Hal Steven.
_936342
700 _aDunson, David B.
_936343
700 _aVehtari, Aki
_936344
700 _aRubin, Donald B.
_936345
942 _cBK
999 _c187326
_d187326