Title of article
Beyond the Poisson renewal process: A tutorial survey
Author/Authors
Mainardi، نويسنده , , Francesco and Gorenflo، نويسنده , , Rudolf and Vivoli، نويسنده , , Alessandro، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2007
Pages
11
From page
725
To page
735
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.
Keywords
Poisson process , Mittag–Leffler function , Wright function , stable distributions , waiting times , Power laws , Fractional derivative , Renewal theory
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2007
Journal title
Journal of Computational and Applied Mathematics
Record number
1553914
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