Convergence of Stochastic Processes

Often the best way to adumbrate a dark and dense assemblage of material is to describe the background in contrast to which the edges of the nebulosity may be clearly discerned. Hence, perhaps the most appropriate way to introduce this paper is to describe what it is not. It is not a comprehensive study of stochastic processes, nor an in-depth treatment of convergence. In fact, on the surface, the material covered in this paper is nothing more than a compendium of seemingly loosely-connected and barely-miscible theorems, methods and conclusions from the three main papers surveyed ([VC71], [Pol89] and [DL91]).