Maximum-entropy Models in Science and EngineeringJohn Wiley & Sons, 1989 - 635 pages 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. |
Table des matières
Preface | 1 |
MaximumEntropy Discrete Univariate Probability Distributions | 30 |
MaximumEntropy Continuous Univariate Probability | 44 |
MaximumEntropy Discrete Multivariate Probability | 88 |
Distributions | 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 |
196 | 346 |
MaximumEntropy Models in Marketing and Elections | 358 |
MaximumEntropy Models in Economics Finance Insurance | 409 |
MaximumEntropy Spectral Analysis | 444 |
MaximumEntropy Image Reconstruction | 469 |
Maximum and MinimumEntropy Models in Pattern | 497 |
MaximumEntropy Principle in Operations Research | 526 |
Equivalence of MaximumEntropy Principle and Gausss Principle | 228 |
MaximumEntropy Principle and Contingency Tables | 255 |
11 | 266 |
Entropy Maximization and Statistical Thermodynamics | 292 |
MaximumEntropy Models in Biology Medicine | 567 |
| 619 | |
| 623 | |
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Expressions et termes fréquents
a₁ b₁ b₂ Bose-Einstein Bose-Einstein distribution brands c₁ Cauchy distribution concave function contingency table convex function decreasing determine directed divergence Dirichlet distribution discussed E(ln entropy maximization entropy principle equations estimate exponential gamma distribution generalised geometric given gives increasing function inequality integral interval J.N. Kapur k₁ Kullback Lagrangian m₁ m₂ matrix maximize the entropy maximum likelihood maximum value maximum-entropy distribution maximum-entropy principle maximum-entropy probability MDI principle mean measure of entropy MEPD minimize multivariate distribution multivariate normal distribution Negative Binomial Distribution normal distribution number of particles obtained P(r₁ P₁ parameters population prescribed probability density function probability distribution problem r₁ r₂ S₁ satisfied Shannon's Show Smax solution solve statistical T₁ thermodynamics tion variance variates x₁ Y₁ zero Σ Σ дак
Fréquemment cités
Page 605 - On the best finite set of linear observables for discriminating two Gaussian signals.
Page 618 - Urban ecological and spatial interaction models (A review)", Environment and Planning.
Page 595 - LL (1970). Equivalence of Gauss's principle and minimum discrimination information estimation of probabilities. Ann. Math.