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Probability and Information Theory [electronic resource] : Proceedings of the International Symposium at McMaster University, Canada, April, 1968 / edited by M. Behara, K. Krickeberg, J. Wolfowitz.

Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 89Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1969Description: IV, 260 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540360988
Subject(s): Additional physical formats: Printed edition:: No titleDDC classification:
  • 510 23
LOC classification:
  • QA1-939
Online resources:
Contents:
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.
In: Springer eBooks
Item type: E-BOOKS
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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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