Transcription of Entropy and Information Theory - Stanford EE
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Entropy and Information Theory First Edition, Corrected March 3, 2013. ii Entropy and Information Theory First Edition, Corrected Robert M. Gray Information Systems Laboratory Electrical Engineering Department Stanford University Springer-Verlag New York c 1990 by Springer Verlag. Revised 2000, 2007, 2008, 2009, 2013 by Robert M. Gray iv to Tim, Lori, Julia, Peter, Gus, Amy Elizabeth, and Alice and in memory of Tino Contents Prologue ix 1 Information Sources 1. Introduction .. 1. Probability Spaces and random Variables .. 1. random Processes and Dynamical Systems .. 5. Distributions .. 6. Standard Alphabets .. 10. Expectation .. 11. Asymptotic Mean Stationarity .. 14. Ergodic Properties .. 15. 2 Entropy and Information 17. Introduction.
average information and distortion, where both sample averages and probabilis-tic averages are of interest. The book has been strongly in uenced by M. S. Pinsker’s classic Information and Information Stability of Random Variables and Processes and by the seminal work of A. N. Kolmogorov, I. M. Gelfand, A. M. Yaglom, and R. L. Dobrushin on
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