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Probability and Information Theory

Probability and Information Theory

Softcover - 9783540046080
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Beschreibung

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.

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

Details

Verlag Springer Berlin
Ersterscheinung 01. Januar 1969
Maße 23.5 cm x 15.5 cm
Gewicht 406 Gramm
Format Softcover
ISBN-13 9783540046080
Seiten 260

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