Bayesian probability theory : applications in the physical sciences / Wolfgang Von Der Linden, Volker Dose and Udo Von Toussaint.
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TextPublication details: Cambridge : CUP, 2014.Description: xiii, 637 p. : illustrations ; 26 cmISBN: - 9781107035904 (hardback)
- 000SA.161 23 L744
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 000SA.161 L744 (Browse shelf(Opens below)) | Available | 135570 |
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Includes bibliographical references (pages 620-630) and index.
1. The meaning of probability --
2. Basic definitions for frequentist statistics and bayesian inference--
3. Bayesian inference --
4. Combinatrics --
5. Random walks --
6. Limit theorems --
7. Continuous distributions --
8. The central limit theorem --
9. Poisson processes and waiting times --
10. Prior probabilities by transformation invariance --
11. Testable information and maximum entropy --
12. Qualified maximum entropy --
13. Global smoothness --
Part III Parameter estimation--
14. Bayesian parameter estimation --
15. Frequentist parameter estimation --
16. The Cramer-Rao inequality --
Part IV Testing hypotheses--
17. The Bayesian way --
18. The frequentist way --
19. Sampling distributions --
20. Comparison of Bayesian vs frequentist hypothesis tests --
Part V Eral-world applications--
21. Regression --
22. Consistent inference on Inconsistent data --
23. Unrecognized signal contributions --
24. Change point problems --
25. Function estimation --
26. Integral equations --
27. Model selection --
28. Bayesian experimental design --
Part VI Probabilistic numerical techniques--
29. Numerical integration --
30. Monte Carlo methods --
31. Nested sampling--
Appendix--
References--
Index.
Covering all aspects of probability theory, statistics and data analysis from a Bayesian perspective for graduate students and researchers.
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