17 papers
On a Telegraph Process with Generalized Mittag-Leffler Waiting times and Velocity Driven by Random trials
Rohini Bhagwanrao Pote, Kuldeep Kumar Kataria
We study a generalized telegraph process in which the velocity is governed by random trials by considering the specific distribution of waiting times. In this telegraph process, a…
On Elephant Random Walk with Delayed Amnesia
Manisha Dhillon, Shyan Ghosh, Kuldeep Kumar Kataria
In this paper, we introduce a modified elephant random walk that exhibits a transition from a uniform memory mechanism to a selective amnesic memory mechanism. Using a vector marti…
On multidimensional elephant random walk with stops and random step sizes
Shyan Ghosh, Manisha Dhillon, Kuldeep Kumar Kataria
In this paper, we study the number of moves in a multidimensional elephant random walk with stops. We establish several convergence results for the number of moves, including the l…
On Time-Changed Birth-Death Processes with Catastrophes
Kuldeep Kumar Kataria, Rohini Bhagwanrao Pote
We study two time-changed variants of the birth-death process with catastrophe where the time-changing components are the first hitting times of the stable subordinator and the tem…
Multivariate Generalized Counting Process via Gamma Subordination
Manisha Dhillon, Kuldeep Kumar Kataria, Shyan Ghosh
In this paper, we study a multivariate gamma subordinator whose components are independent gamma processes subject to a random time governed by an independent negative binomial pro…
On Multiparameter Generalized Counting Process and its Time-Changed Variants
Manisha Dhillon, Kuldeep Kumar Kataria
We introduce and study a multiparameter version of the generalized counting process (GCP), where there is a possibility of finitely many arrivals simultaneously. We call it the mul…