Maximum-entropy Models in Science and Engineering

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John Wiley & Sons, 1989 - Engineering - 635 pages
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This Is The First Comprehensive Book About Maximum Entropy Principle And Its Applications To A Diversity Of Fields Like Statistical Mechanics, Thermo-Dynamics, Business, Economics, Insurance, Finance, Contingency Tables, Characterisation Of Probability Distributions (Univariate As Well As Multivariate, Discrete As Well As Continuous), Statistical Inference, Non-Linear Spectral Analysis Of Time Series, Pattern Recognition, Marketing And Elections, Operations Research And Reliability Theory, Image Processing, Computerised Tomography, Biology And Medicine. There Are Over 600 Specially Constructed Exercises And Extensive Historical And Bibliographical Notes At The End Of Each Chapter.The Book Should Be Of Interest To All Applied Mathematicians, Physicists, Statisticians, Economists, Engineers Of All Types, Business Scientists, Life Scientists, Medical Scientists, Radiologists And Operations Researchers Who Are Interested In Applying The Powerful Methodology Based On Maximum Entropy Principle In Their Respective Fields.
 

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Contents

Preface
1
MaximumEntropy Discrete Univariate Probability Distributions
30
MaximumEntropy Continuous Univariate Probability
44
MaximumEntropy Discrete Multivariate Probability
88
MaximumEntropy Continuous Multivariate Probability
118
MaximumEntropy Distributions in Statistical Mechanics
146
Minimum Discrepancy Measures
173
Concavity Convexity of MaximumEntropy Minimum
196
MaximumEntropy Models in Regional and Urban Planning
310
MaximumEntropy Models in Marketing and Elections
358
MaximumEntropy Models in Economics Finance Insurance
409
MaximumEntropy Spectral Analysis
444
17 MaximumEntropy Image Reconstruction
469
Maximum and MinimumEntropy Models in Pattern
497
MaximumEntropy Principle in Operations Research
526
MaximumEntropy Models in Biology Medicine
567

Equivalence of MaximumEntropy Principle and Gausss Principle
228
MaximumEntropy Principle and Contingency Tables
252
MaximumEntropy Principle and Statistics
266
Entropy Maximization and Statistical Thermodynamics
292
References
591
Author Index
629
Subject Index
635
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