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Informationen zum Autor Coryn A. L. Bailer-Jones was educated at the University of Oxford and the University of Cambridge. He has worked on modelling the processing of metals and has done research into the properties of low mass stars and brown dwarfs. He is a senior staff member at the Max-Planck-Institut für Astronomie, Heidelberg, where he leads a group working on the analysis of data from the Gaia survey mission. He also teaches statistics and physics at Universität Heidelberg. His main scientific interests are statistical inference, stars and our Galaxy, and the impact of astronomical phenomena on the Earth. Klappentext This book introduces the major concepts of probability and statistics, along with the necessary computational tools, for undergraduates and graduate students. Zusammenfassung This volume introduces the major concepts of probability and statistics and the computational tools students need to extract information from data in the presence of uncertainty. Using a simple and intuitive Bayesian approach! the emphasis throughout is on the principles and showing how these methods can be implemented in practice. Inhaltsverzeichnis Preface; 1. Probability basics; 2. Estimation and uncertainty; 3. Statistical models and inference; 4. Linear models, least squares, and maximum likelihood; 5. Parameter estimation: single parameter; 6. Parameter estimation: multiple parameters; 7. Approximating distributions; 8. Monte Carlo methods for inference; 9. Parameter estimation: Markov chain Monte Carlo; 10. Frequentist hypothesis testing; 11. Model comparison; 12. Dealing with more complicated problems; References; Index.
