Studying the joint distributional properties of partial sums of independent random variables, we obtain stochastic analogues of some simple deterministic results from the theory of majorization, Schur-convexity, and arrangement monotonicity. More explicitly, let Xi([theta]i), i =1, ..., n, be...

An important aspect of the efficient design of an automatic transfer line is the ability to understand and predict the effects of the system parameters such as the size of the intermediate buffer storage space, the cycle times, failure times, repair times, and scrap rate, on the production rate...