On the Fractional Poisson Process and the Discretized Stable Subordinator

Axioms

Rudolf Gorenflo¹  Francesco Mainardi² 

[1] Department of Mathematics & Computer Science, Free University Berlin, Berlin 14195, Germany; E-Mail:;Department of Physics & Astronomy, University of Bologna, and INFN, Bologna 40126, Italy

关键词: renewal process;    Continuous Time Random Walk;    erlang process;    Mittag-Leffler function;    wright function;    fractional Poisson process;    stable distributions;    stable and inverse stable subordinator;    diffusion limit;   

DOI  :  10.3390/axioms4030321

来源: mdpi

【 摘 要 】

We consider the renewal counting number processyields as diffusion limits the inverse stable and the stable subordinator, respectively.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.