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math.PR2024
Multivariate Tempered Space-Fractional Negative Binomial Process and Risk Models with Shocks
Ashok Kumar Pathak, Ritik Soni
In this paper, we first define the multivariate tempered space-fractional Poisson process (MTSFPP) by time-changing the multivariate Poisson process with an independent tempered α-…
math.PR2024
Generalized Fractional Risk Process
Ritik Soni, Ashok Kumar Pathak
In this paper, we define a compound generalized fractional counting process (CGFCP) which is a generalization of the compound versions of several well-known fractional counting pro…