4 papers · 2 filters
On Time-Changed Linear Birth-Death Process with Immigration at Extinction
K. K. Kataria, P. Vishwakarma
We study an immigration effect in the time-changed linear birth-death process where the immigration occurs only if the population goes extinct. We call this process as the time-fra…
On Transient Probabilities of Fractional Birth-Death Process
K. K. Kataria, P. Vishwakarma
We study a fractional birth-death process with state dependent birth and death rates. It is defined using a system of fractional differential equations that generalizes the classic…
Generalized Birth-Death Process on Finite Lattice
P. Vishwakarma, K. K. Kataria
We consider a generalized birth-death process (GBDP) whose state space is a finite subset of a -dimensional lattice. It is assumed that there can be a jump of finite step size i…
Fractional Poisson Random Fields on
K. K. Kataria, P. Vishwakarma
In this paper, we consider a fractional Poisson random field (FPRF) on positive plane. It is defined as a process whose one dimensional distribution is the solution of a system of…