As Bayesian techniques become more common across a variety of fields, it becomes important for experts in those fields to understand those methods. An Introductory Handbook of Bayesian Thinking brings Bayesian thinking and methods to a wide audience beyond the mathematical sciences. Appropriate for students with some background in calculus and introductory statistics, particularly for nonstatisticians with a sufficient mathematical background, the text provides a gentle introduction to Bayesian ideas with a wide array of supporting examples from a variety of fields. Utilizes real datasets to illustrate Bayesian models and their resultsGuides readers on coding Bayesian models using the statistical software R, including a helpful introduction and supporting online resourceAppropriate for an undergraduate statistics course, as well as for non-statisticians with sufficient mathematical background (integral and differential Calculus and an introductory Statistics course)Covers any more advanced topics which readers may not be familiar with-such as the basic idea of vectors and matrices-as much as needed in order to foster understanding of core concepts INDICE: 1. Probability and Random Variables2. Probability Distributions, Expected Value, and Variance3. Common Probability Distributions4. Conditional Probability and Bayes' Rule5. Finding and Using Distributions of Data6. Marginal and Conditional Distributions7. The Bayesian Switch8. A Brief Review of R9. Single Parameter Bayesian Inference10. Multi-Parameter Inference11. Gibbs Sampling in R12. Bayesian Linear Regression13. Bayesian Binary Regression14. Probabilistic Clustering15. Dealing with Non-conjugate Priors16. Models for Count Data17. Testing Hypotheses with Bayes18. Bayesian Inference Beyond This BookAppendix A: Matrix Form of Bayesian Linear RegressionAppendix B: Multivariate ClusteringAppendix C: List of Probability DistributionsAppendix D: Solutions to Practice Problems
- ISBN: 978-0-323-95459-4
- Editorial: Academic Press
- Encuadernacion: Rústica
- Páginas: 350
- Fecha Publicación: 12/08/2024
- Nº Volúmenes: 1
- Idioma: Inglés