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Maximum-Entropy and Bayesian Methods in Science and Engineering

Foundations

  • Book
  • © 1988

Overview

Editors:
  1. Gary J. Erickson

    1. Department of Electrical Engineering, Seattle University, Seattle, USA

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  2. C. Ray Smith

    1. Advanced Sensors Directorate Research, Development and Engineering Center, US Army Missile Command, Redstone Arsenal, USA

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Fundamental Theories of Physics (FTPH, volume 31-32)

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Table of contents (18 chapters)

  1. Front Matter

    Pages i-x
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  2. How Does the Brain Do Plausible Reasoning?

    • E. T. Jaynes
    Pages 1-24

  3. The Relation of Bayesian and Maximum Entropy Methods

    • E. T. Jaynes
    Pages 25-29

  4. An Engineer Looks at Bayes

    • Myron Tribus
    Pages 31-52

  5. Bayesian Inductive Inference and Maximum Entropy

    • Stephen F. Gull
    Pages 53-74

  6. Excerpts from Bayesian Spectrum Analysis and Parameter Estimation

    • G. Larry Bretthorst
    Pages 75-145

  7. Detection of Extra-Solar System Planets

    • E. T. Jaynes
    Pages 147-160

  8. Stochastic Complexity and the Maximum Entropy Principle

    • Jorma Rissanen
    Pages 161-171

  9. The Axioms of Maximum Entropy

    • John Skilling
    Pages 173-187

  10. Understanding Ignorance

    • C. C. Rodriguez
    Pages 189-204

  11. Maximum Entropy Calculations on a Discrete Probability Space

    • P. F. Fougere
    Pages 205-234

  12. Quantum Density Matrix and Entropic Uncertainty

    • R. Blankenbecler, M. H. Partovi
    Pages 235-244

  13. Information-Theoretical Generalization of the Uncertainty Principle

    • A. J. M. Garrett
    Pages 245-248

  14. Time, Energy, and the Limits of Measurement

    • M. H. Partovi, R. Blankenbecler
    Pages 249-255

  15. On a Detection Estimator Related to Entropy

    • R. N. Madan
    Pages 257-265

  16. The Evolution of Carnot’s Principle

    • E. T. Jaynes
    Pages 267-281

  17. A Logic of Information Systems

    • N. C. Dalkey
    Pages 283-294

  18. Methodological Principles of Uncertainty in Inductive Modelling: A New Perspective

    • G. J. Klir
    Pages 295-304

  19. Comparison of Minimum Cross-Entropy Inference with Minimally Informative Information Systems

    • N. C. Dalkey
    Pages 305-312

  20. Back Matter

    Pages 313-314
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Keywords

About this book

This volume has its origin in the Fifth, Sixth and Seventh Workshops on and Bayesian Methods in Applied Statistics", held at "Maximum-Entropy the University of Wyoming, August 5-8, 1985, and at Seattle University, August 5-8, 1986, and August 4-7, 1987. It was anticipated that the proceedings of these workshops would be combined, so most of the papers were not collected until after the seventh workshop. Because all of the papers in this volume are on foundations, it is believed that the con­ tents of this volume will be of lasting interest to the Bayesian community. The workshop was organized to bring together researchers from different fields to critically examine maximum-entropy and Bayesian methods in science and engineering as well as other disciplines. Some of the papers were chosen specifically to kindle interest in new areas that may offer new tools or insight to the reader or to stimulate work on pressing problems that appear to be ideally suited to the maximum-entropy or Bayesian method. A few papers presented at the workshops are not included in these proceedings, but a number of additional papers not presented at the workshop are included. In particular, we are delighted to make available Professor E. T. Jaynes' unpublished Stanford University Microwave Laboratory Report No. 421 "How Does the Brain Do Plausible Reasoning?" (dated August 1957). This is a beautiful, detailed tutorial on the Cox-Polya-Jaynes approach to Bayesian probability theory and the maximum-entropy principle.

Editors and Affiliations

  • Department of Electrical Engineering, Seattle University, Seattle, USA

    Gary J. Erickson

  • Advanced Sensors Directorate Research, Development and Engineering Center, US Army Missile Command, Redstone Arsenal, USA

    C. Ray Smith

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