217 citations · 502 across the 43 of their papers we have counts for
8 papers · 1 filter
Space-fractional versions of the negative binomial and Polya-type processes
L. Beghin, P. Vellaisamy
In this paper, we introduce a space fractional negative binomial (SFNB) process by subordinating the space fractional Poisson process to a gamma subordinator. Its one-dimensional d…
Inverse Tempered Stable Subordinators
A. Kumar, P. Vellaisamy
We consider the first-hitting time of a tempered -stable subordinator, also called inverse tempered stable (ITS) subordinator. The density function of the ITS subordinator is ob…
Simple Parametrization Methods for Generating Adomian Polynomials
K. K. Kataria, P. Vellaisamy
In this paper, we discuss two simple parametrization methods for calculating Adomian polynomials for several nonlinear operators, which utilize the orthogonality of functions einx,…
On Stein operators for discrete approximations
N. S. Upadhye, V. Cekanavicius, P. Vellaisamy
In this paper, a new method based on probability generating functions is used to obtain multiple Stein operators for various random variables closely related to Poisson, binomial a…
On the Construction and the Cardinality of Finite -Fields
P. Vellaisamy, S. Ghosh, M. Sreehari
In this note, we first discuss some properties of generated -fields and a simple approach to the construction of finite -fields. It is shown that the -field generated by a…
On Probabilistic Proofs of Certain Binomial Identities
P. Vellaisamy
We give a simple statistical proof of a binomial identity, by evaluating the Laplace transform of the maximum of n independent exponential random variables in two different ways. A…