most citedBivariate Tempered Space-Fractional Poisson Process and Shock Models

8 citations · 8 across the 5 of their papers we have counts for

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5 papers

math.PR2024

Fractional counting process at Lévy times and its applications

Shilpa Garg, Ashok Kumar Pathak, Aditya Maheshwari

Traditionally, fractional counting processes, such as the fractional Poisson process, etc. have been defined using fractional differential and integral operators. Recently, Laskin…

math.PR2024

Tempered space-time fractional negative binomial process

Shilpa, Ashok Kumar Pathak, Aditya Maheshwari

In this paper, we define a tempered space-time fractional negative binomial process (TSTFNBP) by subordinating the fractional Poisson process with an independent tempered Mittag-Le…

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★ 8 cited

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…