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.