4 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 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…
On Mixed Time-Changed Erlang Queue
Rohini Bhagwanrao Pote, Kuldeep Kumar Kataria
We study a time-changed variant of the Erlang queue by taking the first hitting time of a mixed stable subordinator as the time-changing component. We call it the mixed time-change…
On Erlang Queue with Multiple Arrivals and its Time-changed Variant
R. B. Pote, K. K. Kataria
We introduce and study a queue with the Erlang service system and whose arrivals are governed by a counting process in which there is a possibility of finitely many arrivals in an…