Maximum Entropy and Bayesian Methods in Applied Statistics
Proceedings of the Fourth Maximum Entropy Workshop University of Calgary, 1984

This collection of papers contains contributions showing the use of the maximum entropy method in many of the fields in which it finds application.

James H. Justice (Author)

9780521096034, Cambridge University Press

Paperback / softback, published 11 January 2009

332 pages
24.4 x 17 x 1.8 cm, 0.53 kg

This collection of papers by leading researchers in their respective fields contains contributions showing the use of the maximum entropy method in many of the fields in which it finds application. In the physical, mathematical and biological sciences it is often necessary to make inferences based on insufficient data. The problem of choosing one among the many possible conclusions or models which are compatible with the data may be resolved in a variety of ways. A particularly appealing method is to choose the solution which maximizes entropy in the sense that the conclusion or model honours the observed data but implies no further assumptions not warranted by the data. The maximum entropy principle has been growing in importance and acceptance in many fields, perhaps most notably statistical physics, astronomy, geophysics, signal processing, image analysis and physical chemistry. The papers included in this volume touch on most of the current areas of research activity and application, and will be of interest to research workers in all fields in which the maximum entropy method may be applied.

1. Bayesian Methods: General Background E. T Jaynes
2. Monkeys, Kangaroos, and N E. T Jaynes
3. The Theory and Practice of the Maximum Entropy Formalism R. D. Levine
4. Bayesian Non-Parametric Statistics Stephen F. Gull and John Fielden
5. Generalized Entropies and the Maximum Entropy Principle J. Aczel and B. Forte
6. The Probability of a Probability John F. Cyranski
7. Prior Probabilities Revisited N. C Dalkey
8. Band Extensions, Maximum Entropy and the Permanence Principle Robert L. Ellis, Israel Gohberg and David Lay
9. Theory of Maximum Entropy Image Reconstruction John Skilling
10. The Cambridge Maximum Entropy Algorithm John Skilling
11. Maximum Entropy and the Moments Problem: Spectroscopic Applications C. G. Gray
12. Maximum-Entropy Spectrum from a Non-Extendable Autocorrelation Function Paul F. Fougere
13. Multichannel Maximum Entropy Spectral Analysis Using Least Squares Modelling P. A. Tyraskis
14. Multichannel Relative-Entropy Spectrum Analysis Bruce R. Musicus and Rodney W. Johnson
15. Maximum Entropy and the Earth's Density E. Rietsch
16. Entropy and Some Inverse Problems in Exploration Seismology James H. Justice
17. Principle of Maximum Entropy and Inverse Scattering Problems Ramarao Inguva and James Baker-Jarvis.

Subject Areas: Applied mathematics [PBW]