Application of the solution to the Rayleigh problem

There are three problems that arise from attempts to characterize the Rayleigh problem that are of interest to computer scientists: characterizing noise distributions that occur in real time scheduling of computer resources, distinguishing between pseudo-random and random signals that occur on networks (the Internet for example) and testing the goodness of random number generators which both occur by using a change of variables for the random variables so that they are wrapped on the unit circle. We discuss how to determine the noise distributions for sinusoidal transformation and then discuss applications of these characterizations.