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Probability Theory: The Logic of Science

By Jaynes, E. T.

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Book Id: WPLBN0000662044
Format Type: PDF eBook
File Size: 137.71 KB
Reproduction Date: 2005
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Title: Probability Theory: The Logic of Science  
Author: Jaynes, E. T.
Language: English
Subject: Science., Mathematics, Logic
Publication Date:


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Jaynes, E. (n.d.). Probability Theory: The Logic of Science. Retrieved from

Mathematics document containing theorems and formulas.

Excerpt: Obability Theory; The Logic Of Science; Long Contents; Principles And Elementary Applications; Plausible Reasoning Deductive And Plausible Reasoning; and Analogies With Physical Theories.

Table of Contents
Contents PART A - PRINCIPLES AND ELEMENTARY APPLICATIONS Chapter 1 Plausible Reasoning Chapter 2 Quantitative Rules: The Cox Theorems Chapter 3 Elementary Sampling Theory Chapter 4 Elementary Hypothesis Testing Chapter 5 Queer Uses for Probability Theory Chapter 6 Elementary Parameter Estimation Chapter 7 The Central Gaussian, or Normal, Distribution Chapter 8 Su ciency, Ancillarity, and All That Chapter 9 Repetitive Experiments: Probability and Frequency Chapter 10 Physics of \Random Experiments Chapter 11 The Entropy Principle Chapter 12 Ignorance Priors { Transformation Groups Chapter 13 Decision Theory: Historical Survey Chapter 14 Simple Applications of Decision Theory Chapter 15 Paradoxes of Probability Theory Chapter 16 Orthodox Statistics: Historical Background Chapter 17 Principles and Pathology of Orthodox Statistics Chapter 18 The Ap{Distribution and Rule of Succession PART B { ADVANCED APPLICATIONS Chapter 19 Physical Measurements Chapter 20 Regression and Linear Models Chapter 21 Estimation with Cauchy and t{Distributions Chapter 22 Time Series Analysis and Autoregressive Models Chapter 23 Spectrum / Shape Analysis Chapter 24 Model Comparison and Robustness Chapter 25 Image Reconstruction Chapter 26 Marginalization Theory Chapter 27 Communication Theory Chapter 28 Optimal Antenna and Filter Design Chapter 29 Statistical Mechanics Chapter 30 Maximum Entropy { Matrix Formulation APPENDICES Appendix A Other Approaches to Probability Theory Appendix B Formalities and Mathematical Style Appendix C Convolutions and Cumulants Appendix D Dirichlet Integrals and Generating Functions Appendix E The Binomial { Gaussian Hierarchy of Distributions Appendix F Fourier Analysis Appendix G In nite Series Appendix H Matrix Analysis and Computation Appendix I Computer Programs REFERENCES


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