Probability and Information Theory
Proceedings of the International Symposium at McMaster University, Canada, April, 1968
Published on 1. January 1969
Book
Paperback/Softback
IV, 260 pages
978-3-540-04608-0 (ISBN)
Description
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.
More details
Series
Edition
1969 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
IV, 260 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 15 mm
Weight
406 gr
ISBN-13
978-3-540-04608-0 (9783540046080)
DOI
10.1007/BFb0079113
Schweitzer Classification
Content
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.