1 citations · 1 across the 12 of their papers we have counts for
13 papers
Amnesic Elephant Random Walk with Polynomially Decaying Step Sizes
Shyan Ghosh, Manisha Dhillon, Kuldeep Kumar Kataria
In this paper, we introduce an amnesic elephant random walk with polynomially decaying step sizes. The walk retains the loss of memory effect of amnesic ERW, however its step sizes…
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…
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. Also…
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…
On a Fractional Variant of Linear Birth-Death Process
Manisha Dhillon, Pradeep Vishwakarma, Kuldeep Kumar Kataria
We introduce and study a fractional variant of the linear birth-death process, namely, the generalized fractional linear birth-death process (GFLBDP) which is defined by taking the…
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…
On Elephant Random Walk with Random Memory
M. Dhillon, K. K. Kataria
In this paper, we introduce the elephant random walk (ERW) with memory consisting of randomly selected steps from its history. It is a time-changed variant of the standard elephant…
Iterated Generalized Counting Process and its Extensions
M. Dhillon, K. K. Kataria
In this paper, we study the composition of two independent GCPs which we call the iterated generalized counting process (IGCP). Its distributional properties such as the transition…
On the Multivariate Generalized Counting Process and its Time-Changed Variants
K. K. Kataria, M. Dhillon
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 s…
On the Superposition and Thinning of Generalized Counting Processes
M. Dhillon, K. K. Kataria
In this paper, we study the merging and splitting of generalized counting processes (GCPs). First, we study the merging of a finite number of independent GCPs and then extend it to…