Probability and Information Theory

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Januar 1969



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.
EAN: 9783540046080
ISBN: 3540046089
Untertitel: Proceedings of the International Symposium at McMaster University, Canada, April, 1968. 1969. Auflage. Book. Sprache: Englisch.
Verlag: Springer
Erscheinungsdatum: Januar 1969
Seitenanzahl: 264 Seiten
Format: kartoniert
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