Probability and Information: An Integrated Approach

Probability and Information: An Integrated Approach

David Applebaum


This up to date textbook is a superb method to introduce likelihood and knowledge concept to new scholars in arithmetic, machine technology, engineering, data, economics, or company stories. in basic terms requiring wisdom of easy calculus, it begins by way of construction a transparent and systematic beginning to the topic: the idea that of likelihood is given specific recognition through a simplified dialogue of measures on Boolean algebras. The theoretical principles are then utilized to sensible components equivalent to statistical inference, random walks, statistical mechanics and communications modelling. subject matters coated contain discrete and non-stop random variables, entropy and mutual details, greatest entropy tools, the valuable restrict theorem and the coding and transmission of knowledge, and additional for this re-creation is fabric on Markov chains and their entropy. plenty of examples and workouts are incorporated to demonstrate find out how to use the speculation in a variety of purposes, with precise ideas to so much workouts on hand on-line for teachers.

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