Maximum-Entropy and Bayesian Methods in Inverse Problems

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C.R. Smith, W.T. Grandy Jr.
Springer Science & Business Media, Apr 17, 2013 - Mathematics - 492 pages
This volume contains the text of the twenty-five papers presented at two workshops entitled Maximum-Entropy and Bayesian Methods in Applied Statistics, which were held at the University of Wyoming from June 8 to 10, 1981, and from August 9 to 11, 1982. The workshops were organized to bring together researchers from different fields to critically examine maxi mum-entropy and Bayesian methods in science, engineering, medicine, oceanography, economics, and other disciplines. An effort was made to maintain an informal environment where ideas could be easily ~xchanged. That the workshops were at least partially successful is borne out by the fact that there have been two succeeding workshops, and the upcoming Fifth Workshop promises to be the largest of all. These workshops and their proceedings could not have been brought to their final form without the substantial help of a number of people. The support of David Hofmann, the past chairman, and Glen Rebka, Jr. , the present chairman of the Physics Department of the University of Wyoming, has been strong and essential. Glen has taken a special interest in seeing that the proceedings have received the support required for their comple tion. The financial support of the Office of University Research Funds, University of Wyoming, is gratefully acknowledged. The secretarial staff, in particular Evelyn Haskell, Janice Gasaway, and Marce Mitchum, of the University of Wyoming Physics Department has contributed a great number of hours in helping C. Ray Smith organize and direct the workshops.
 

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Contents

INCOMPLETE INFORMATION AND GENERALIZED INVERSE
1
WHERE DO WE GO FROM HERE?
21
NTRODUCTION TO MINIMUMCROSSENTROPY SPECTRAL
59
ON AN ALLEGED BREAKDOWN OF THE MAXIMUMENTROPY
67
ALGORITHMS AND APPLICATIONS
83
ESTMATING OCCURRENCE LAWS WITH MAXIMUM PROBA
133
FUNDAMENTALS OF SEISM 1C EXPLORATION
170
APPLIED SEISMOLOGY
211
MULTIVARIATE EXTENSIONS OF MAXIMUM ENTROPY METHODS
339
NDUCTIVE INFERENCE AND THE MAXIMUM ENTROPY
351
TOWARD A GENERAL THEORY OF INDUCTIVE INFERENCE
365
GENERAL ZED SCATTERING
383
DETECTION FOR ACTIVE SONARS BY MEANS OF AUTOREGRESSIVE
399
APPLICATION OF AUTOREGRESSIVE MODELS TO THE DOPPLER
413
MAXIMUMENTROPY AND DATAADAPTIVE PROCEDURES
428
ENTROPY AND SEARCH THEORY
443

ABSOLUTE POWER DENSITY SPECTRA
273
THE ENTROPY OF AN MAGE
287
A REVIEW OF THE PROBLEM OF SPONTANEOUS LINE SPLITTING
303
TO THE RECURSIVE FILTER DESIGN PROBLEM
316
EST MATION OF THE BOUNDARY OF AN INCLUSION
469
VERTICES OF ENTROPY IN ECONOMIC MODELING
475
SUBJECT INDEX
489
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