A hands-on guide to Bayesian models with R, JAGS, Python, and Stan code, for a wide range of astronomical data types.
Joseph M. Hilbe is Solar System Ambassador with NASA's Jet Propulsion Laboratory, California Institute of Technology, Adjunct Professor of Statistics at Arizona State University, and Professor Emeritus at the University of Hawaii. He is currently President of the International Astrostatistics Association (IAA) and was awarded the IAA's 2016 Outstanding Contributions to Astrostatistics medal, the association's top award. Hilbe is an elected Fellow of both the American Statistical Association and the IAA and is a full member of the American Astronomical Society. He has authored nineteen books on statistical modeling, including leading texts on modeling count and binomial data. His book, Modeling Count Data (Cambridge, 2014) received the 2015 PROSE honorable mention for books in mathematics.
Preface; 1. Astrostatistics; 2. Prerequisites; 3. Frequentist vs Bayesian methods; 4. Normal linear models; 5. GLM part I - continuous and binomial models; 6. GLM part II - count models; 7. GLM part III - zero-inflated and hurdle models; 8. Hierarchical GLMMs; 9. Model selection; 10. Astronomical applications; 11. The future of astrostatistics; Appendix A. Bayesian modeling using INLA; Bibliography; Index.