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math.PR2020
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…
math.PR2020★ 1 cited
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…
math.PR2020
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…