Handbook of Markov Chain Monte Carlo 1st Edition by Steve Brooks, Andrew Gelman, Galin Jones, Xiao-Li Meng – Ebook PDF Instant Download/Delivery: 1420079417, 978-1420079418
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Product details:
ISBN 10: 1420079417
ISBN 13: 978-1420079418
Author: Steve Brooks, Andrew Gelman, Galin Jones, Xiao-Li Meng
Since their popularization in the 1990s, Markov chain Monte Carlo (MCMC) methods have revolutionized statistical computing and have had an especially profound impact on the practice of Bayesian statistics. Furthermore, MCMC methods have enabled the development and use of intricate models in an astonishing array of disciplines as diverse as fisheries science and economics. The wide-ranging practical importance of MCMC has sparked an expansive and deep investigation into fundamental Markov chain theory.
The Handbook of Markov Chain Monte Carlo provides a reference for the broad audience of developers and users of MCMC methodology interested in keeping up with cutting-edge theory and applications. The first half of the book covers MCMC foundations, methodology, and algorithms. The second half considers the use of MCMC in a variety of practical applications including in educational research, astrophysics, brain imaging, ecology, and sociology.
The in-depth introductory section of the book allows graduate students and practicing scientists new to MCMC to become thoroughly acquainted with the basic theory, algorithms, and applications. The book supplies detailed examples and case studies of realistic scientific problems presenting the diversity of methods used by the wide-ranging MCMC community. Those familiar with MCMC methods will find this book a useful refresher of current theory and recent developments.
Table of contents:
- Foreword
- Introduction to MCMC
- A short history of Markov chain Monte Carlo: Subjective recollections from incomplete data
- Reversible jump Markov chain Monte Carlo
- Optimal proposal distributions and adaptive MCMC
- MCMC using Hamiltonian dynamics
- Inference and Monitoring Convergence
- Implementing MCMC: Estimating with confidence
- Perfection within reach: Exact MCMC sampling
- Spatial point processes
- The data augmentation algorithm: Theory and methodology
- Importance sampling, simulated tempering, and umbrella sampling
- Likelihood-free Markov chain Monte Carlo
- MCMC in the analysis of genetic data on related individuals
- A Markov chain Monte Carlo based analysis of a multilevel model for functional MRI data
- Partially collapsed Gibbs sampling & path-adaptive Metropolis-Hastings in high-energy astrophysics
- Posterior exploration for computationally intensive forward models
- Statistical ecology
- Gaussian random field models for spatial data
- Modeling preference changes via a hidden Markov item response theory model
- Parallel Bayesian MCMC imputation for multiple distributed lag models: A case study in environmental epidemiology
- MCMC for state space models
- MCMC in educational research
- Applications of MCMC in fisheries science
- Model comparison and simulation for hierarchical models: analyzing rural-urban migration in Thailand
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Steve Brooks,Andrew Gelman,Galin Jones,Xiao Li Meng,Handbook of Markov,Chain Monte Carlo