Bayesian Logical Data Analysis for the Physical Sciences

Informationen zum Autor Phil Gregory is Professor Emeritus at the Department of Physics and Astronomy at the University of British Columbia. Klappentext A clear exposition of the underlying concepts! containing large numbers of worked examples and problem sets. Zusammenfassung Increasingly, researchers in many branches of science are coming into contact with Bayesian statistics or Bayesian probability theory. This book provides a clear exposition of the underlying concepts with large numbers of worked examples and problem sets. Background material is provided in appendices and supporting Mathematica® notebooks are available. Inhaltsverzeichnis Preface; Acknowledgements; 1. Role of probability theory in science; 2. Probability theory as extended logic; 3. The how-to of Bayesian inference; 4. Assigning probabilities; 5. Frequentist statistical inference; 6. What is a statistic?; 7. Frequentist hypothesis testing; 8. Maximum entropy probabilities; 9. Bayesian inference (Gaussian errors); 10. Linear model fitting (Gaussian errors); 11. Nonlinear model fitting; 12. Markov Chain Monte Carlo; 13. Bayesian spectral analysis; 14. Bayesian inference (Poisson sampling); Appendix A. Singular value decomposition; Appendix B. Discrete Fourier transforms; Appendix C. Difference in two samples; Appendix D. Poisson ON/OFF details; Appendix E. Multivariate Gaussian from maximum entropy; References; Index.

Product details

• Authors: P. C. Gregory, Phil Gregory, Gregory Phil
• Publisher: Cambridge University Press Academic
• Languages: English
• Product format: Hardback
• Released: 14.04.2005
• EAN: 9780521841504
• ISBN: 978-0-521-84150-4
• Dimensions: 182 mm x 255 mm x 28 mm
• Subjects: Education and learning > Teaching preparation > Vocational needs; Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics; MATHEMATICS / Probability & Statistics / General, SCIENCE / Physics / Astrophysics, Probability & statistics, Probability and statistics, Theoretical and mathematical astronomy