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math.PR2014★ 2 cited
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…
math.ST2014
A Compound Poisson Convergence Theorem for Sums of -Dependent Variables
V. Cekanavicius, P. Vellaisamy
We prove the Simons-Johnson theorem for the sums of -dependent random variables, with exponential weights and limiting compound Poisson distribution $\CP(s,λ)$. More preci…