Probability and Bayesian Modeling

ISBN-13: 9781138492561 / Angielski / Twarda / 2019 / 552 str.

Jim Albert; Jingchen Hu

Opis

Bayesian statistics has been advancing in many aspects in recent years. Bayesian learning provides a natural framework for students to solve scientific problems. This book provides an introduction to Bayesian analysis for undergraduate students with calculus, statistics, and a computational background.

Spis treści

1. Introduction, examples and review. 2. Why Bayes? 3. One-parameter models. 4. Monte Carlo approximation. 5. Normal models. 6. Gibbs sampler. 7. Metropolis-Hastings algorithms, BUGS. 8. Bayesian hierarchical modeling. 9. Multivariate normal models. 10. Bayesian linear regression. 11. Bayesian model comparison, variable selection and model selection. 12. Applications.