12 citations · 28 across the 9 of their papers we have counts for
10 papers · 1 filter
Some probabilistic properties and time-changed versions of a renewal process based on Mittag-Leffler waiting times
Mostafizar Khandakar, Bratati Pal
In this paper, we obtain some additional probabilistic properties of the renewal process , introduced by Beghin and Orsingher (2010). A time-ch…
Generalized Counting Process with Random Drift and Different Brownian Clocks
Mostafizar Khandakar, Manisha Dhillon, Kuldeep Kumar Kataria
In this paper, we introduce drifted versions of the generalized counting process (GCP) with a deterministic drift and a random drift. The composition of stable subordinator with an…
Some Compound Fractional Poisson Processes
M. Khandakar, K. K. Kataria
In this paper, we introduce and study fractional versions of three compound Poisson processes, namely, the Bell-Touchard process, the Poisson-logarithmic process and the generalize…
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…
Convoluted Fractional Poisson Process
K. K. Kataria, M. Khandakar
In this paper, we introduce and study a convoluted version of the time fractional Poisson process by taking the discrete convolution with respect to space variable in the system of…
Mixed fractional Risk Process
K. K. Kataria, M. Khandakar
In this paper, we introduce a risk process, namely, the mixed fractional risk process (MFRP) in which the number of claims in the associated claim process are modelled using the mi…
On the Long-Range Dependence of Mixed Fractional Poisson Process
K. K. Kataria, M. Khandakar
In this paper, we show that the mixed fractional Poisson process (MFPP) exhibits the long-range dependence (LRD) property. It is proved by establishing an asymptotic result for the…