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 ...
A simple procedure for deriving the probability density function (pdf) for sums of uniformly distributed random variables is offered. This method is suited to introductory courses in probability and ...