Applicable Analysis and Discrete Mathematics, Vol. 10, No. 2 (October 2016), pp. 408-446 (39 pages) An associative Boolean tree is a plane rooted tree whose internal nodes are labelled by AND or OR ...

Let Pn, P be probabilities, and F, F* be collections of real functions. Simple conditions are derived under which the simple convergence of ʃ f(x)Pn(dx) to ʃ f(x)P(dx) for every f in F* implies ...