3 papers
math.PR2022
Generalized Counting Process: its Non-Homogeneous and Time-Changed Versions
K. K. Kataria, M. Khandakar, P. Vellaisamy
We introduce a non-homogeneous version of the generalized counting process (GCP), namely, the non-homogeneous generalized counting process (NGCP). We time-change the NGCP by an ind…
math.PR2021
Generalized Fractional Birth Process
K. K. Kataria, M. Khandakar
In this paper, we introduce a generalized birth process (GBP) which performs jumps of size whose rates depend on the state of the process at time . We derive…
math.PR2015
The I-Function Distribution and its Extensions
P. Vellaisamy, K. K. Kataria
In this paper we introduce a new probability distribution on (0,1), associated with the I-function, namely, the I-function distribution. This distribution generalizes several known…