Kuang, LeiIn this paper, we formalize the intuition that the Leaky Bucket (LB) smooths traffic. By sample path comparisons we show that the interdeparture times of the traffic through a LB are more even than the interarrival times of the original traffic in terms of majorization. We also prove that in steady state, the inter- departure time is smaller than the interarrival time in the sense of convex ordering. This leads to the conclusion that the coefficient of variation of the inter-departure time is smaller than that of the inter-arrival time.en-USmulti-user systemsnetwork managementqueueing networksdiscrete event dynamical systemsstochastic processCommunicationSignal Processing SystemsTechnical Report