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.
F. Mainardi, R. Gorenflo, A. Vivoli (2007). Beyond the Poisson renewal process: a tutorial survey. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 205, 725-735 [10.1016/j.cam.2006.04.060].
Beyond the Poisson renewal process: a tutorial survey
MAINARDI, FRANCESCO;
2007
Abstract
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.File in questo prodotto:
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