Practical Bayesian Inference

Practical Bayesian Inference
Title Practical Bayesian Inference PDF eBook
Author Coryn A. L. Bailer-Jones
Publisher Cambridge University Press
Pages 306
Release 2017-04-27
Genre Mathematics
ISBN 1108127673

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Science is fundamentally about learning from data, and doing so in the presence of uncertainty. This volume is an introduction to the major concepts of probability and statistics, and the computational tools for analysing and interpreting data. It describes the Bayesian approach, and explains how this can be used to fit and compare models in a range of problems. Topics covered include regression, parameter estimation, model assessment, and Monte Carlo methods, as well as widely used classical methods such as regularization and hypothesis testing. The emphasis throughout is on the principles, the unifying probabilistic approach, and showing how the methods can be implemented in practice. R code (with explanations) is included and is available online, so readers can reproduce the plots and results for themselves. Aimed primarily at undergraduate and graduate students, these techniques can be applied to a wide range of data analysis problems beyond the scope of this work.

Bayesian Core: A Practical Approach to Computational Bayesian Statistics

Bayesian Core: A Practical Approach to Computational Bayesian Statistics
Title Bayesian Core: A Practical Approach to Computational Bayesian Statistics PDF eBook
Author Jean-Michel Marin
Publisher Springer Science & Business Media
Pages 265
Release 2007-02-06
Genre Computers
ISBN 0387389792

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This Bayesian modeling book provides the perfect entry for gaining a practical understanding of Bayesian methodology. It focuses on standard statistical models and is backed up by discussed real datasets available from the book website.

Practical Bayesian Inference

Practical Bayesian Inference
Title Practical Bayesian Inference PDF eBook
Author Coryn A. L. Bailer-Jones
Publisher Cambridge University Press
Pages 306
Release 2017-04-27
Genre Mathematics
ISBN 1107192110

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This book introduces the major concepts of probability and statistics, along with the necessary computational tools, for undergraduates and graduate students.

Bayesian Data Analysis, Third Edition

Bayesian Data Analysis, Third Edition
Title Bayesian Data Analysis, Third Edition PDF eBook
Author Andrew Gelman
Publisher CRC Press
Pages 677
Release 2013-11-01
Genre Mathematics
ISBN 1439840954

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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 Edition Four new chapters on nonparametric modeling Coverage of weakly informative priors and boundary-avoiding priors Updated discussion of cross-validation and predictive information criteria Improved convergence monitoring and effective sample size calculations for iterative simulation Presentations of Hamiltonian Monte Carlo, variational Bayes, and expectation propagation New and revised software code 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. 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.

The BUGS Book

The BUGS Book
Title The BUGS Book PDF eBook
Author David Lunn
Publisher CRC Press
Pages 393
Release 2012-10-02
Genre Mathematics
ISBN 1466586664

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Bayesian statistical methods have become widely used for data analysis and modelling in recent years, and the BUGS software has become the most popular software for Bayesian analysis worldwide. Authored by the team that originally developed this software, The BUGS Book provides a practical introduction to this program and its use. The text presents

Practical Nonparametric and Semiparametric Bayesian Statistics

Practical Nonparametric and Semiparametric Bayesian Statistics
Title Practical Nonparametric and Semiparametric Bayesian Statistics PDF eBook
Author Dipak D. Dey
Publisher Springer Science & Business Media
Pages 376
Release 2012-12-06
Genre Mathematics
ISBN 1461217326

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A compilation of original articles by Bayesian experts, this volume presents perspectives on recent developments on nonparametric and semiparametric methods in Bayesian statistics. The articles discuss how to conceptualize and develop Bayesian models using rich classes of nonparametric and semiparametric methods, how to use modern computational tools to summarize inferences, and how to apply these methodologies through the analysis of case studies.

Advanced Lectures on Machine Learning

Advanced Lectures on Machine Learning
Title Advanced Lectures on Machine Learning PDF eBook
Author Olivier Bousquet
Publisher Springer
Pages 249
Release 2011-03-22
Genre Computers
ISBN 3540286500

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Machine Learning has become a key enabling technology for many engineering applications, investigating scientific questions and theoretical problems alike. To stimulate discussions and to disseminate new results, a summer school series was started in February 2002, the documentation of which is published as LNAI 2600. This book presents revised lectures of two subsequent summer schools held in 2003 in Canberra, Australia, and in Tübingen, Germany. The tutorial lectures included are devoted to statistical learning theory, unsupervised learning, Bayesian inference, and applications in pattern recognition; they provide in-depth overviews of exciting new developments and contain a large number of references. Graduate students, lecturers, researchers and professionals alike will find this book a useful resource in learning and teaching machine learning.