We consider the first-exit time of a tempered β-stable subordinator, also called inverse
tempered stable (ITS) subordinator. An integral form representation and a series …

In this paper, we obtain additional results for a fractional counting process introduced and
studied by Di Crescenzo et al.. For convenience, we call it the generalized fractional …

In this paper, we study the fractional Poisson process (FPP) time-changed by an
independent Lévy subordinator and the inverse of the Lévy subordinator, which we call …

In this paper, we define a fractional negative binomial process (FNBP) by replacing the
Poisson process by a fractional Poisson process (FPP) in the gamma subordinated form of …

Hawkes process (HP) is a point process with a conditionally dependent intensity function.
This paper defines the tempered fractional Hawkes process (TFHP) by time-changing the …

In this article, we study the Poisson process of order k (PPoK) time-changed with an
independent Lévy subordinator and its inverse, which we call, respectively, as TCPPoK-I …

In this paper, we study a multivariate version of the generalized counting process (GCP) and
discuss its various time-changed variants. The time is changed using random processes …

In this article, we introduce tempered Mittag-Leffler Lévy processes (TMLLP). TMLLP is
represented as tempered stable subordinator delayed by a gamma process. Its probability …

We introduce a non-homogeneous version of the generalized counting process (GCP),
namely, the non-homogeneous generalized counting process (NGCP). We time-change the …

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 …