TY  - BOOK
AU  - Linden,Wolfgang Von Der
AU  - Dose,Volker
AU  - Toussaint,Udo Von
TI  - Bayesian probability theory: applications in the physical sciences 
SN  - 9781107035904 (hardback)
U1  - 000SA.161 23
PY  - 2014///
CY  - Cambridge
PB  - CUP
KW  - Probabilities
KW  - Bayesian statistical decision theory
N1  - 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
N2  - Covering all aspects of probability theory, statistics and data analysis from a Bayesian perspective for graduate students and researchers
ER  -