10 papers · 1 filter
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…
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…
Tempered Erlang Queue with Multiple Arrivals
Manisha Dhillon, Kuldeep Kumar Kataria
In this paper, we introduce and study a time-changed variant of the Erlang queue with multiple arrivals where the time-changing component used is the first hitting time of a temper…
On Two Parameter Time-Changed Poisson Random Fields with Drifts
Pradeep Vishwakarma, Manisha Dhillon, Kuldeep Kumar Kataria
We study the composition of bivariate Lévy process with bivariate inverse subordinator. The explicit expressions for its dispersion and auto correlation matrices are obtained. Als…