30 citations · 55 across the 16 of their papers we have counts for
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Densities of Inverse Tempered Stable Subordinators and Related Processes With Mellin Transforrm
Neha Gupta, Arun Kumar
In this article, the infinite series form of the probability densities of tempered stable and inverse tempered stable subordinators are obtained using Mellin transform. Further, th…
Fractional Poisson Processes of Order k and Beyond
Neha Gupta, Arun Kumar
In this article, we introduce fractional Poisson felds of order k in n-dimensional Euclidean space . We also work on time-fractional Poisson process of order k, space-fracti…
Potential Theory of Normal Tempered Stable Process
Arun Kumar, Harsh Verma
In this article, we study the potential theory of normal tempered stable process which is obtained by time-changing the Brownian motion with a tempered stable subordinator. Precise…
Skellam Type Processes of Order K and Beyond
Neha Gupta, Arun Kumar, Nikolai Leonenko
In this article, we introduce Skellam process of order k and its running average. We also discuss the time-changed Skellam process of order k. In particular we discuss space-fracti…
Mixtures of Tempered Stable Subordinators
Neha Gupta, Arun Kumar, Nikolai Leonenko
In this article, we introduce mixtures of tempered stable subordinators (TSS). These mixtures define a class of subordinators which generalize tempered stable subordinators. The ma…
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…