Abstract
In this article, we provide the recursive inequalities for weighted sums of Poisson random variables. Furthermore, we establish their upper and lower bounds. Some numerical simulations are also demonstrated. Particularly, in some cases, we demonstrate that our bounds are sharper than the ones in Pelekis (2016) by numerical results.
2010 MSC::
Acknowledgments
The authors are very grateful to the reviewers for the valuable comments and suggestions in the early draft.
Disclosure statement
No potential conflict of interest was reported by the author(s).