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math.PR2018
Tempered Fractional Poisson Processes and Fractional Equations with Z-Transform
Neha Gupta, Arun Kumar, Nikolai Leonenko
In this article, we derive the state probabilities of different type of space- and time-fractional Poisson processes using z-transform. We work on tempered versions of time-fractio…
math.PR2018
On the infinite divisibility of distributions of some inverse subordinators
Arun Kumar, Erkan Nane
We consider the infinite divisibility of distributions of some well-known inverse subordinators. Using a tail probability bound, we establish that distributions of many of the inve…