Probability and Information Theory

Proceedings of the International Symposium at McMaster University, Canada, April, 1968
Herausgegeben:Behara, M.; Krickeberg, K.; Wolfowitz, J.

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Mathematics 89
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-04608-0
• 1969.
• Seitenzahl: 264
• Erscheinungstermin: 1. Januar 1969
• Englisch
• Abmessung: 235mm x 155mm x 15mm
• Gewicht: 432g
• ISBN-13: 9783540046080
• ISBN-10: 3540046089
• Artikelnr.: 23319780

Inhaltsangabe

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.