Beyond the Poisson renewal process: A tutorial survey

摘要

After sketching the basic principles of renewal theory and recalling the classical Poisson process, we discuss two renewal processes characterized by waiting time laws with the same power asymptotics defined by special functions of Mittag-Leffler and of Wright type. We compare these three processes with each other. (c) 2006 Elsevier B.V. All rights reserved.