3 papers
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…
math.PR2023
Bivariate Tempered Space-Fractional Poisson Process and Shock Models
Ritik Soni, Ashok Kumar Pathak, Antonio Di Crescenzo +1
In this paper, we introduce a bivariate tempered space-fractional Poisson process (BTSFPP) by time-changing the bivariate Poisson process with an independent tempered -stable su…