This is a preview. Log in through your library . Abstract Users of small and personal computers do not have access to the libraries of generators of random variables provided by experts which have ...
Suppose a1, a2,... is a sequence of real numbers with an → ∞. If $\lim \sup(X_1 + \cdots + X_n)/a_n = \alpha$ a.s. for every sequence of independent nonnegative uniformly bounded random variables X1, ...