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20232026
most citedOn Elephant Random Walk with Random Memory

1 citations · 1 across the 12 of their papers we have counts for

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math.PR2025

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…

math.PR2025

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…

math.PR2025

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…

math.PR2025

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…

math.PR2025

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…

math.PR2025

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…

math.PR2025★ 1 cited

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…