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The Space-Fractional Poisson Process
Space-fractional Poisson process Backward shift operator Discrete stable distributions Stable subordinator
2011/9/8
Abstract: In this paper we introduce the space-fractional Poisson process whose state probabilities $p_k^\alpha(t)$, $t>0$, $\alpha \in (0,1]$, are governed by the equations $(\mathrm d/\mathrm dt)p_k...
Full characterization of the fractional Poisson process
Full characterization fractional Poisson process Data Analysis
2011/7/25
Abstract: The fractional Poisson process (FPP) is a counting process with independent and identically distributed inter-event times following the Mittag-Leffler distribution. This process is very usef...