Probability and Information Theory

Proceedings of the International Symposium at McMaster University, Canada, April, 1968

By: M. Behara (Editor), K. Krickeberg (Editor), J. Wolfowitz (Editor)

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Paperback | 12 March 2014

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On different characterizations of entropies.- The structure of capacity functions for compound channels.- Boolean algebraic methods in Markov chains.- Maxima of partial sums.- Series expansions for random processes.- Glivenko-Cantelli type theorems for distance functions based on the modified empirical distribution function of M. Kac and for the empirical process with random sample size in general.- On the continuity of Markov processes.- Some mathematical problems in statistical mechanics.- Asymptotic behaviour of the average probability of error for low rates of information transmission.- On the optimum rate of transmitting information.- A necessary and sufficient condition for the validity of the local ergodic theorem.- Recent results on mixing in topological measure spaces.- Convergence in probability and allied results.- Applications of almost surely convergent constructions of weakly convergent processes.- Random processes defined through the interaction of an infinite particle system.- The central limit theorem and ?-entropy.- Maximum probability estimators with a general loss function.

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