6 papers
Some Spatial Point Processes of Poisson Family
Pradeep Vishwakarma
Spatial Poisson point processes on finite-dimensional Euclidean space provide fundamental mathematical tools for modeling random spatial point patterns. In this paper, we introduce…
Skellam Processes via Multiparameter Poisson Process
Pradeep Vishwakarma
We introduce a mltiparameter version of Skellam point process via multiparameter Poisson processes. Its distributional properties are studied in detail. Its compound representation…
Fractional Compound Poisson Random Fields on Plane
P. Vishwakarma, K. K. Kataria
We study a compound Poisson random field on plane and examine its various fractional variants. We derive the distributions of these random fields and in some particular cases, obta…
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 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…
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…