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By E. T. Jaynes
Edited by G. Larry Bretthorst
Publisher: Cambridge University Press
Print Publication Year:2003
Online Publication Date:September 2012
Online ISBN:9780511790423
Hardback ISBN:9780521592710
Book DOI: http://dx.doi.org/10.1017/CBO9780511790423
Subjects: Theoretical Physics and Mathematical Physics , Applied probability and stochastic networks
Going beyond the conventional mathematics of probability theory, this study views the subject in a wider context. It discusses new results, along with applications of probability theory to a variety of problems. The book contains many exercises and is suitable for use as a textbook on graduate-level courses involving data analysis. Aimed at readers already familiar with applied mathematics at an advanced undergraduate level or higher, it is of interest to scientists concerned with inference from incomplete information.
Reviews:
pp. i-vi
pp. vii-xvi
pp. xvii-xviii
pp. xix-xxx
Part I - Principles and elementary applications: Read PDF
pp. 1-2
1 - Plausible reasoning: Read PDF
pp. 3-23
2 - The quantitative rules: Read PDF
pp. 24-50
3 - Elementary sampling theory: Read PDF
pp. 51-85
4 - Elementary hypothesis testing: Read PDF
pp. 86-118
5 - Queer uses for probability theory: Read PDF
pp. 119-148
6 - Elementary parameter estimation: Read PDF
pp. 149-197
7 - The central, Gaussian or normal distribution: Read PDF
pp. 198-242
8 - Sufficiency, ancillarity, and all that: Read PDF
pp. 243-269
9 - Repetitive experiments: probability and frequency: Read PDF
pp. 270-313
10 - Physics of ‘random experiments’: Read PDF
pp. 314-340
Part II - Advanced applications: Read PDF
pp. 341-342
11 - Discrete prior probabilities: the entropy principle: Read PDF
pp. 343-371
12 - Ignorance priors and transformation groups: Read PDF
pp. 372-396
13 - Decision theory, historical background: Read PDF
pp. 397-425
14 - Simple applications of decision theory: Read PDF
pp. 426-450
15 - Paradoxes of probability theory: Read PDF
pp. 451-489
16 - Orthodox methods: historical background: Read PDF
pp. 490-508
17 - Principles and pathology of orthodox statistics: Read PDF
pp. 509-552
18 - The Ap distribution and rule of succession: Read PDF
pp. 553-588
19 - Physical measurements: Read PDF
pp. 589-600
20 - Model comparison: Read PDF
pp. 601-614
21 - Outliers and robustness: Read PDF
pp. 615-626
22 - Introduction to communication theory: Read PDF
pp. 627-650
Appendix A - Other approaches to probability theory: Read PDF
pp. 651-660
Appendix B - Mathematical formalities and style: Read PDF
pp. 661-676
Appendix C - Convolutions and cumulants: Read PDF
pp. 677-682
pp. 683-704
pp. 705-720
pp. 721-723
pp. 724-727
No references available.