Bayesian Logical Data Analysis for the Physical Sciences A Comparative Approach with Mathematica® Support
Book contents
- Frontmatter
- Contents
- 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 with Gaussian errors
- 10 Linear model fitting (Gaussian errors)
- 11 Nonlinear model fitting
- 12 Markov chain Monte Carlo
- 13 Bayesian revolution in spectral analysis
- 14 Bayesian inference with 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
Contents
Published online by Cambridge University Press: 05 September 2012
Book contents
- Frontmatter
- Contents
- 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 with Gaussian errors
- 10 Linear model fitting (Gaussian errors)
- 11 Nonlinear model fitting
- 12 Markov chain Monte Carlo
- 13 Bayesian revolution in spectral analysis
- 14 Bayesian inference with 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
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- Bayesian Logical Data Analysis for the Physical SciencesA Comparative Approach with Mathematica® Support, pp. v - xiiPublisher: Cambridge University PressPrint publication year: 2005