Publications (14)
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…
On Generalized Transmuted Lifetime Distribution
Alok Kumar Pandey, Alam Ali, Ashok Kumar Pathak
This article presents a new class of generalized transmuted lifetime distributions which includes a large number of lifetime distributions as sub-family. Several important mathemat…
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…
Generalized Fractional Negative Binomial Process
Ritik Soni, Ashok Kumar Pathak
In this paper, we introduce a generalized fractional negative binomial process (GFNBP) by time changing the fractional Poisson process with an independent Mittag-Leffler (ML) Levy…
A Novel Bivariate Generalized Weibull Distribution with Properties and Applications
Ashok Kumar Pathak, Mohd. Arshad, Qazi J. Azhad +2
Univariate Weibull distribution is a well-known lifetime distribution and has been widely used in reliability and survival analysis. In this paper, we introduce a new family of biv…
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 s…