K. K. Kataria

collaborators

3 papers

math.PR2024

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…

math.PR2024

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 $q$ -dimensional lattice. It is assumed that there can be a jump of finite step size i…

math.PR2024

Fractional Poisson Random Fields on $R_{+}^{2}$

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…

On Time-Changed Linear Birth-Death Process with Immigration at Extinction

Generalized Birth-Death Process on Finite Lattice

Fractional Poisson Random Fields on R+2​

Fractional Poisson Random Fields on $R_{+}^{2}$