12 citations · 28 across the 9 of their papers we have counts for
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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…
Skellam and Time-Changed Variants of the Generalized Fractional Counting Process
K. K. Kataria, M. Khandakar
In this paper, we study a Skellam type variant of the generalized counting process (GCP), namely, the generalized Skellam process. Some of its distributional properties such as the…
Generalized Fractional Counting Process
K. K. Kataria, M. Khandakar
In this paper, we obtain additional results for a fractional counting process introduced and studied by Di Crescenzo et al. (2016). For convenience, we call it the generalized frac…
Fractional Skellam Process of Order
K. K. Kataria, M. Khandakar
We introduce and study a fractional version of the Skellam process of order by time-changing it with an independent inverse stable subordinator. We call it the fractional Skell…