by H Gzyl (Univ. Venezuela)

This monograph is an outgrowth of a set of lecture notes on the maximum entropy method delivered at the 1st Venezuelan School of Mathematics. This yearly event aims at acquainting graduate students and university teachers with the trends, techniques and open problems of current interest. In this book the author reviews several versions of the maximum entropy method and makes its underlying philosophy clear.

• Introduction
• Basic Concepts from Probability Theory
• Equilibrium Distributions in Statistical Mechanics
• Some Heuristics
• Entropy Functionals
• The Method of Maximum Entropy
• Applications and Extensions
• Entropy and Large Deviations
• Maximum Entropy and Conditional Probabilities
• Maximum Entropy and Statistics