Reduction of weak limit problems by transformations.- Characterizations of unimodal distribution functions.- Random sampling from a continuous parameter stochastic process.- On a test for goodness-of-fit based on the empirical probability measure of Foutz and testing for exponentiality.- A theorem of Deny with applications to characterization problems.- Multivariate tests of independence.- Local limit theorem for sample extremes.- On a simultaneous characterization of the poisson law and the gamma distribution.- Self-decomposable discrete distributions and branching processes.- An application of the method of moments to the central limit theorem on hyperbolic spaces.- Convergences stochastiques des processus ponctuels composes a signe.- Decomposition of probability measures on locally compact abelian groups.- Problemes classiques de probabilite sur un couple de Gelfand.- Construction of characterization theorems.- Local time and invariance.- On the rate of convergence in the central limit theorem.- Almost certain behavior of row sums of double arrays.- Extensions of Lukacs¿ characterization of the gamma distribution.- On the unimodality of infinitely divisible distribution functions II.