Bayesian Statistical Methods

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Release : 2019-04-12
Genre : Mathematics
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Book Rating : 918/5 ( reviews)

Bayesian Statistical Methods - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Bayesian Statistical Methods write by Brian J. Reich. This book was released on 2019-04-12. Bayesian Statistical Methods available in PDF, EPUB and Kindle. Bayesian Statistical Methods provides data scientists with the foundational and computational tools needed to carry out a Bayesian analysis. This book focuses on Bayesian methods applied routinely in practice including multiple linear regression, mixed effects models and generalized linear models (GLM). The authors include many examples with complete R code and comparisons with analogous frequentist procedures. In addition to the basic concepts of Bayesian inferential methods, the book covers many general topics: Advice on selecting prior distributions Computational methods including Markov chain Monte Carlo (MCMC) Model-comparison and goodness-of-fit measures, including sensitivity to priors Frequentist properties of Bayesian methods Case studies covering advanced topics illustrate the flexibility of the Bayesian approach: Semiparametric regression Handling of missing data using predictive distributions Priors for high-dimensional regression models Computational techniques for large datasets Spatial data analysis The advanced topics are presented with sufficient conceptual depth that the reader will be able to carry out such analysis and argue the relative merits of Bayesian and classical methods. A repository of R code, motivating data sets, and complete data analyses are available on the book’s website. Brian J. Reich, Associate Professor of Statistics at North Carolina State University, is currently the editor-in-chief of the Journal of Agricultural, Biological, and Environmental Statistics and was awarded the LeRoy & Elva Martin Teaching Award. Sujit K. Ghosh, Professor of Statistics at North Carolina State University, has over 22 years of research and teaching experience in conducting Bayesian analyses, received the Cavell Brownie mentoring award, and served as the Deputy Director at the Statistical and Applied Mathematical Sciences Institute.

A First Course in Bayesian Statistical Methods

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Release : 2009-06-02
Genre : Mathematics
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Book Rating : 078/5 ( reviews)

A First Course in Bayesian Statistical Methods - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A First Course in Bayesian Statistical Methods write by Peter D. Hoff. This book was released on 2009-06-02. A First Course in Bayesian Statistical Methods available in PDF, EPUB and Kindle. A self-contained introduction to probability, exchangeability and Bayes’ rule provides a theoretical understanding of the applied material. Numerous examples with R-code that can be run "as-is" allow the reader to perform the data analyses themselves. The development of Monte Carlo and Markov chain Monte Carlo methods in the context of data analysis examples provides motivation for these computational methods.

Bayesian Methods for Statistical Analysis

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Release : 2015-10-01
Genre : Mathematics
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Book Rating : 263/5 ( reviews)

Bayesian Methods for Statistical Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Bayesian Methods for Statistical Analysis write by Borek Puza. This book was released on 2015-10-01. Bayesian Methods for Statistical Analysis available in PDF, EPUB and Kindle. Bayesian Methods for Statistical Analysis is a book on statistical methods for analysing a wide variety of data. The book consists of 12 chapters, starting with basic concepts and covering numerous topics, including Bayesian estimation, decision theory, prediction, hypothesis testing, hierarchical models, Markov chain Monte Carlo methods, finite population inference, biased sampling and nonignorable nonresponse. The book contains many exercises, all with worked solutions, including complete computer code. It is suitable for self-study or a semester-long course, with three hours of lectures and one tutorial per week for 13 weeks.

Bayesian Data Analysis, Third Edition

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Release : 2013-11-01
Genre : Mathematics
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Book Rating : 954/5 ( reviews)

Bayesian Data Analysis, Third Edition - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Bayesian Data Analysis, Third Edition write by Andrew Gelman. This book was released on 2013-11-01. Bayesian Data Analysis, Third Edition available in PDF, EPUB and Kindle. 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.

Bayesian Statistics for Experimental Scientists

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Release : 2020-09-08
Genre : Mathematics
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Book Rating : 587/5 ( reviews)

Bayesian Statistics for Experimental Scientists - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Bayesian Statistics for Experimental Scientists write by Richard A. Chechile. This book was released on 2020-09-08. Bayesian Statistics for Experimental Scientists available in PDF, EPUB and Kindle. An introduction to the Bayesian approach to statistical inference that demonstrates its superiority to orthodox frequentist statistical analysis. This book offers an introduction to the Bayesian approach to statistical inference, with a focus on nonparametric and distribution-free methods. It covers not only well-developed methods for doing Bayesian statistics but also novel tools that enable Bayesian statistical analyses for cases that previously did not have a full Bayesian solution. The book's premise is that there are fundamental problems with orthodox frequentist statistical analyses that distort the scientific process. Side-by-side comparisons of Bayesian and frequentist methods illustrate the mismatch between the needs of experimental scientists in making inferences from data and the properties of the standard tools of classical statistics. The book first covers elementary probability theory, the binomial model, the multinomial model, and methods for comparing different experimental conditions or groups. It then turns its focus to distribution-free statistics that are based on having ranked data, examining data from experimental studies and rank-based correlative methods. Each chapter includes exercises that help readers achieve a more complete understanding of the material. The book devotes considerable attention not only to the linkage of statistics to practices in experimental science but also to the theoretical foundations of statistics. Frequentist statistical practices often violate their own theoretical premises. The beauty of Bayesian statistics, readers will learn, is that it is an internally coherent system of scientific inference that can be proved from probability theory.